Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7651/476,5285/968
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 7651,5285
Greatest Common Factor of Numerators i.e. GCF of 7651,5285 is 7 .
LCM of Denominators means LCM of 476,968 as per the given fractions.
LCM of 476,968 is 115192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7651,5285
7 | 7651, 5285 |
1093, 755 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7651
List of positive integer factors of 7651 that divides 7651 without a remainder.
1,7,1093,7651
Factors of 5285
List of positive integer factors of 5285 that divides 5285 without a remainder.
1,5,7,35,151,755,1057,5285
Greatest Common Factor
We found the factors 7651,5285 . The biggest common factor number is the GCF number.
So the greatest common factor 7651,5285 is 7.
Lets's calculate LCM of 476,968
2 | 476, 968 |
2 | 238, 484 |
119, 242 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 242 = 115192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/115192
Therefore, the GCF of Fractions 7651/476,5285/968 is 7/115192
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 476,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,968) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,968) x common factors =4 x 1 = 4
LCM(476,968) = ( 476 × 968 ) / 4
LCM(476,968) = 460768 / 4
LCM(476,968) = 115192
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 7651/476, 5285/968?
Answer: GCF of Numerators as per given numbers 7651/476, 5285/968 is
GCF of Numerators i.e. for 7651,5285 is 7
LCM of denominators i.e. for 476,968 is 115192.
Thus, GCF of Fractions is 7/115192.Finally, GCF of Fractions for 7651/476, 5285/968 is 7/115192.