Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4654/129,7832/1079
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 4654,7832
Greatest Common Factor of Numerators i.e. GCF of 4654,7832 is 2 .
LCM of Denominators means LCM of 129,1079 as per the given fractions.
LCM of 129,1079 is 139191 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4654,7832
2 | 4654, 7832 |
2327, 3916 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4654
List of positive integer factors of 4654 that divides 4654 without a remainder.
1,2,13,26,179,358,2327,4654
Factors of 7832
List of positive integer factors of 7832 that divides 7832 without a remainder.
1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Greatest Common Factor
We found the factors 4654,7832 . The biggest common factor number is the GCF number.
So the greatest common factor 4654,7832 is 2.
Lets's calculate LCM of 129,1079
Given numbers has no common factors except 1. So, there LCM is their product i.e 139191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139191
Therefore, the GCF of Fractions 4654/129,7832/1079 is 2/139191
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 129,1079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,1079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,1079) x common factors =1 x 1 = 1
LCM(129,1079) = ( 129 × 1079 ) / 1
LCM(129,1079) = 139191 / 1
LCM(129,1079) = 139191
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 4654/129, 7832/1079?
Answer: GCF of Numerators as per given numbers 4654/129, 7832/1079 is
GCF of Numerators i.e. for 4654,7832 is 2
LCM of denominators i.e. for 129,1079 is 139191.
Thus, GCF of Fractions is 2/139191.Finally, GCF of Fractions for 4654/129, 7832/1079 is 2/139191.