Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7119/681,7893/1426
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 7119,7893
Greatest Common Factor of Numerators i.e. GCF of 7119,7893 is 9 .
LCM of Denominators means LCM of 681,1426 as per the given fractions.
LCM of 681,1426 is 971106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7119,7893
3 | 7119, 7893 |
3 | 2373, 2631 |
791, 877 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 7119
List of positive integer factors of 7119 that divides 7119 without a remainder.
1,3,7,9,21,63,113,339,791,1017,2373,7119
Factors of 7893
List of positive integer factors of 7893 that divides 7893 without a remainder.
1,3,9,877,2631,7893
Greatest Common Factor
We found the factors 7119,7893 . The biggest common factor number is the GCF number.
So the greatest common factor 7119,7893 is 9.
Lets's calculate LCM of 681,1426
Given numbers has no common factors except 1. So, there LCM is their product i.e 971106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/971106
Therefore, the GCF of Fractions 7119/681,7893/1426 is 9/971106
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 681,1426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,1426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,1426) x common factors =1 x 1 = 1
LCM(681,1426) = ( 681 × 1426 ) / 1
LCM(681,1426) = 971106 / 1
LCM(681,1426) = 971106
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 7119/681, 7893/1426?
Answer: GCF of Numerators as per given numbers 7119/681, 7893/1426 is
GCF of Numerators i.e. for 7119,7893 is 9
LCM of denominators i.e. for 681,1426 is 971106.
Thus, GCF of Fractions is 9/971106.Finally, GCF of Fractions for 7119/681, 7893/1426 is 9/971106.