Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3176/416,3714/9958
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 3176,3714
Greatest Common Factor of Numerators i.e. GCF of 3176,3714 is 2 .
LCM of Denominators means LCM of 416,9958 as per the given fractions.
LCM of 416,9958 is 159328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3176,3714
2 | 3176, 3714 |
1588, 1857 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3176
List of positive integer factors of 3176 that divides 3176 without a remainder.
1,2,4,8,397,794,1588,3176
Factors of 3714
List of positive integer factors of 3714 that divides 3714 without a remainder.
1,2,3,6,619,1238,1857,3714
Greatest Common Factor
We found the factors 3176,3714 . The biggest common factor number is the GCF number.
So the greatest common factor 3176,3714 is 2.
Lets's calculate LCM of 416,9958
2 | 416, 9958 |
13 | 208, 4979 |
16, 383 |
∴ So the LCM of the given numbers is 2 x 13 x 16 x 383 = 159328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/159328
Therefore, the GCF of Fractions 3176/416,3714/9958 is 2/159328
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 416,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,9958) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(416,9958) x common factors =26 x 1 = 26
LCM(416,9958) = ( 416 × 9958 ) / 26
LCM(416,9958) = 4142528 / 26
LCM(416,9958) = 159328
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 3176/416, 3714/9958?
Answer: GCF of Numerators as per given numbers 3176/416, 3714/9958 is
GCF of Numerators i.e. for 3176,3714 is 2
LCM of denominators i.e. for 416,9958 is 159328.
Thus, GCF of Fractions is 2/159328.Finally, GCF of Fractions for 3176/416, 3714/9958 is 2/159328.