Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/715,756/715
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 211,756
Greatest Common Factor of Numerators i.e. GCF of 211,756 is 1 .
LCM of Denominators means LCM of 715,715 as per the given fractions.
LCM of 715,715 is 715 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 211,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 211,756 . The biggest common factor number is the GCF number.
So the greatest common factor 211,756 is 1.
Lets's calculate LCM of 715,715
5 | 715, 715 |
11 | 143, 143 |
13 | 13, 13 |
1, 1 |
∴ So the LCM of the given numbers is 5 x 11 x 13 x 1 x 1 = 715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/715
Therefore, the GCF of Fractions 211/715,756/715 is 1/715
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 715,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,715) = 715
common factors(in case of two or more numbers have common factors) = 1
GCF(715,715) x common factors =715 x 1 = 715
LCM(715,715) = ( 715 × 715 ) / 715
LCM(715,715) = 511225 / 715
LCM(715,715) = 715
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 211/715, 756/715?
Answer: GCF of Numerators as per given numbers 211/715, 756/715 is
GCF of Numerators i.e. for 211,756 is 1
LCM of denominators i.e. for 715,715 is 715.
Thus, GCF of Fractions is 1/715.Finally, GCF of Fractions for 211/715, 756/715 is 1/715.