Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6248/572,8458/276
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 6248,8458
Greatest Common Factor of Numerators i.e. GCF of 6248,8458 is 2 .
LCM of Denominators means LCM of 572,276 as per the given fractions.
LCM of 572,276 is 39468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6248,8458
2 | 6248, 8458 |
3124, 4229 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6248
List of positive integer factors of 6248 that divides 6248 without a remainder.
1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248
Factors of 8458
List of positive integer factors of 8458 that divides 8458 without a remainder.
1,2,4229,8458
Greatest Common Factor
We found the factors 6248,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 6248,8458 is 2.
Lets's calculate LCM of 572,276
2 | 572, 276 |
2 | 286, 138 |
143, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 69 = 39468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39468
Therefore, the GCF of Fractions 6248/572,8458/276 is 2/39468
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 572,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,276) x common factors =4 x 1 = 4
LCM(572,276) = ( 572 × 276 ) / 4
LCM(572,276) = 157872 / 4
LCM(572,276) = 39468
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 6248/572, 8458/276?
Answer: GCF of Numerators as per given numbers 6248/572, 8458/276 is
GCF of Numerators i.e. for 6248,8458 is 2
LCM of denominators i.e. for 572,276 is 39468.
Thus, GCF of Fractions is 2/39468.Finally, GCF of Fractions for 6248/572, 8458/276 is 2/39468.