Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8134/60,6584/952
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 8134,6584
Greatest Common Factor of Numerators i.e. GCF of 8134,6584 is 2 .
LCM of Denominators means LCM of 60,952 as per the given fractions.
LCM of 60,952 is 14280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8134,6584
2 | 8134, 6584 |
4067, 3292 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8134
List of positive integer factors of 8134 that divides 8134 without a remainder.
1,2,7,14,49,83,98,166,581,1162,4067,8134
Factors of 6584
List of positive integer factors of 6584 that divides 6584 without a remainder.
1,2,4,8,823,1646,3292,6584
Greatest Common Factor
We found the factors 8134,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 8134,6584 is 2.
Lets's calculate LCM of 60,952
2 | 60, 952 |
2 | 30, 476 |
15, 238 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 238 = 14280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14280
Therefore, the GCF of Fractions 8134/60,6584/952 is 2/14280
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 60,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,952) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(60,952) x common factors =4 x 1 = 4
LCM(60,952) = ( 60 × 952 ) / 4
LCM(60,952) = 57120 / 4
LCM(60,952) = 14280
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 8134/60, 6584/952?
Answer: GCF of Numerators as per given numbers 8134/60, 6584/952 is
GCF of Numerators i.e. for 8134,6584 is 2
LCM of denominators i.e. for 60,952 is 14280.
Thus, GCF of Fractions is 2/14280.Finally, GCF of Fractions for 8134/60, 6584/952 is 2/14280.