Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 792/7618,132/8280
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 792,132
Greatest Common Factor of Numerators i.e. GCF of 792,132 is 132 .
LCM of Denominators means LCM of 7618,8280 as per the given fractions.
LCM of 7618,8280 is 31538520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 792,132
2 | 792, 132 |
2 | 396, 66 |
3 | 198, 33 |
11 | 66, 11 |
6, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 792,132 . The biggest common factor number is the GCF number.
So the greatest common factor 792,132 is 132.
Lets's calculate LCM of 7618,8280
2 | 7618, 8280 |
3809, 4140 |
∴ So the LCM of the given numbers is 2 x 3809 x 4140 = 31538520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/31538520
Therefore, the GCF of Fractions 792/7618,132/8280 is 132/31538520
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 7618,8280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7618,8280) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7618,8280) x common factors =2 x 1 = 2
LCM(7618,8280) = ( 7618 × 8280 ) / 2
LCM(7618,8280) = 63077040 / 2
LCM(7618,8280) = 31538520
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 792/7618, 132/8280?
Answer: GCF of Numerators as per given numbers 792/7618, 132/8280 is
GCF of Numerators i.e. for 792,132 is 132
LCM of denominators i.e. for 7618,8280 is 31538520.
Thus, GCF of Fractions is 132/31538520.Finally, GCF of Fractions for 792/7618, 132/8280 is 132/31538520.