Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 750/662,3392/8976
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 750,3392
Greatest Common Factor of Numerators i.e. GCF of 750,3392 is 2 .
LCM of Denominators means LCM of 662,8976 as per the given fractions.
LCM of 662,8976 is 2971056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 750,3392
2 | 750, 3392 |
375, 1696 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 3392
List of positive integer factors of 3392 that divides 3392 without a remainder.
1,2,4,8,16,32,53,64,106,212,424,848,1696,3392
Greatest Common Factor
We found the factors 750,3392 . The biggest common factor number is the GCF number.
So the greatest common factor 750,3392 is 2.
Lets's calculate LCM of 662,8976
2 | 662, 8976 |
331, 4488 |
∴ So the LCM of the given numbers is 2 x 331 x 4488 = 2971056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2971056
Therefore, the GCF of Fractions 750/662,3392/8976 is 2/2971056
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 662,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,8976) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,8976) x common factors =2 x 1 = 2
LCM(662,8976) = ( 662 × 8976 ) / 2
LCM(662,8976) = 5942112 / 2
LCM(662,8976) = 2971056
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 750/662, 3392/8976?
Answer: GCF of Numerators as per given numbers 750/662, 3392/8976 is
GCF of Numerators i.e. for 750,3392 is 2
LCM of denominators i.e. for 662,8976 is 2971056.
Thus, GCF of Fractions is 2/2971056.Finally, GCF of Fractions for 750/662, 3392/8976 is 2/2971056.