Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7762/62,3968/134
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 7762,3968
Greatest Common Factor of Numerators i.e. GCF of 7762,3968 is 2 .
LCM of Denominators means LCM of 62,134 as per the given fractions.
LCM of 62,134 is 4154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7762,3968
2 | 7762, 3968 |
3881, 1984 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7762
List of positive integer factors of 7762 that divides 7762 without a remainder.
1,2,3881,7762
Factors of 3968
List of positive integer factors of 3968 that divides 3968 without a remainder.
1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Greatest Common Factor
We found the factors 7762,3968 . The biggest common factor number is the GCF number.
So the greatest common factor 7762,3968 is 2.
Lets's calculate LCM of 62,134
2 | 62, 134 |
31, 67 |
∴ So the LCM of the given numbers is 2 x 31 x 67 = 4154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4154
Therefore, the GCF of Fractions 7762/62,3968/134 is 2/4154
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 62,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,134) x common factors =2 x 1 = 2
LCM(62,134) = ( 62 × 134 ) / 2
LCM(62,134) = 8308 / 2
LCM(62,134) = 4154
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 7762/62, 3968/134?
Answer: GCF of Numerators as per given numbers 7762/62, 3968/134 is
GCF of Numerators i.e. for 7762,3968 is 2
LCM of denominators i.e. for 62,134 is 4154.
Thus, GCF of Fractions is 2/4154.Finally, GCF of Fractions for 7762/62, 3968/134 is 2/4154.