Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/209,160/894,777/876
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 931,160,777
Greatest Common Factor of Numerators i.e. GCF of 931,160,777 is 1 .
LCM of Denominators means LCM of 209,894,876 as per the given fractions.
LCM of 209,894,876 is 27279516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 931,160,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 931,160,777 . The biggest common factor number is the GCF number.
So the greatest common factor 931,160,777 is 1.
Lets's calculate LCM of 209,894,876
2 | 209, 894, 876 |
3 | 209, 447, 438 |
209, 149, 146 |
∴ So the LCM of the given numbers is 2 x 3 x 209 x 149 x 146 = 27279516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27279516
Therefore, the GCF of Fractions 931/209,160/894,777/876 is 1/27279516
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 209,894,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,894,876) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(209,894,876) x common factors =1 x 6 = 6
LCM(209,894,876) = ( 209 × 894 × 876 ) / 6
LCM(209,894,876) = 163677096 / 6
LCM(209,894,876) = 27279516
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 931/209, 160/894, 777/876?
Answer: GCF of Numerators as per given numbers 931/209, 160/894, 777/876 is
GCF of Numerators i.e. for 931,160,777 is 1
LCM of denominators i.e. for 209,894,876 is 27279516.
Thus, GCF of Fractions is 1/27279516.Finally, GCF of Fractions for 931/209, 160/894, 777/876 is 1/27279516.