GCF (a, b) = a x b or b = 1. a and b must be equal. GCF (a, b) = LCM (a, b) a = 1 a is a multiple of b Both a and b are 1. The only common factor of a and b is 1, i.e. GCF (a, b) = 1. b is a multiple of a.
Added by Joshua P.
Step 1
This means that the greatest common factor of a and b is either the product of a and b, or b itself is 1. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Matt Gibson and 69 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Factor by grouping. Factor out the GCF first. $$ a b d-a b e+a c d-a c e $$
Exponents, Polynomials, and Polynomial Functions
The Greatest Common Factor and Factoring by Grouping
Find the GCF of each list of terms. $$ a(b+c), 3(b+c) $$
Factoring and Quadratic Equations
The Greatest Common Factor; Factoring by Grouping 432
If the LCM of $\mathrm{f}(\mathrm{x})$ and $\mathrm{g}(\mathrm{x})$ is $\mathrm{a}^{6}-\mathrm{b}^{6}$, then their $\mathrm{HCF}$ can be (1) $a-b$ (2) $a^{2}+a b+b^{2}$ (3) $a^{2}-a b+b^{2}$ (4) All of these
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD