Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6540/32,9402/880
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 6540,9402
Greatest Common Factor of Numerators i.e. GCF of 6540,9402 is 6 .
LCM of Denominators means LCM of 32,880 as per the given fractions.
LCM of 32,880 is 1760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6540,9402
2 | 6540, 9402 |
3 | 3270, 4701 |
1090, 1567 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6540
List of positive integer factors of 6540 that divides 6540 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Factors of 9402
List of positive integer factors of 9402 that divides 9402 without a remainder.
1,2,3,6,1567,3134,4701,9402
Greatest Common Factor
We found the factors 6540,9402 . The biggest common factor number is the GCF number.
So the greatest common factor 6540,9402 is 6.
Lets's calculate LCM of 32,880
2 | 32, 880 |
2 | 16, 440 |
2 | 8, 220 |
2 | 4, 110 |
2, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 55 = 1760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1760
Therefore, the GCF of Fractions 6540/32,9402/880 is 6/1760
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 32,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,880) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(32,880) x common factors =16 x 1 = 16
LCM(32,880) = ( 32 × 880 ) / 16
LCM(32,880) = 28160 / 16
LCM(32,880) = 1760
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 6540/32, 9402/880?
Answer: GCF of Numerators as per given numbers 6540/32, 9402/880 is
GCF of Numerators i.e. for 6540,9402 is 6
LCM of denominators i.e. for 32,880 is 1760.
Thus, GCF of Fractions is 6/1760.Finally, GCF of Fractions for 6540/32, 9402/880 is 6/1760.