Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5077/478,8879/714
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 5077,8879
Greatest Common Factor of Numerators i.e. GCF of 5077,8879 is 1 .
LCM of Denominators means LCM of 478,714 as per the given fractions.
LCM of 478,714 is 170646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5077,8879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5077
List of positive integer factors of 5077 that divides 5077 without a remainder.
1,5077
Factors of 8879
List of positive integer factors of 8879 that divides 8879 without a remainder.
1,13,683,8879
Greatest Common Factor
We found the factors 5077,8879 . The biggest common factor number is the GCF number.
So the greatest common factor 5077,8879 is 1.
Lets's calculate LCM of 478,714
2 | 478, 714 |
239, 357 |
∴ So the LCM of the given numbers is 2 x 239 x 357 = 170646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170646
Therefore, the GCF of Fractions 5077/478,8879/714 is 1/170646
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 478,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,714) x common factors =2 x 1 = 2
LCM(478,714) = ( 478 × 714 ) / 2
LCM(478,714) = 341292 / 2
LCM(478,714) = 170646
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 5077/478, 8879/714?
Answer: GCF of Numerators as per given numbers 5077/478, 8879/714 is
GCF of Numerators i.e. for 5077,8879 is 1
LCM of denominators i.e. for 478,714 is 170646.
Thus, GCF of Fractions is 1/170646.Finally, GCF of Fractions for 5077/478, 8879/714 is 1/170646.