Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/157,5010/414
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 254,5010
Greatest Common Factor of Numerators i.e. GCF of 254,5010 is 2 .
LCM of Denominators means LCM of 157,414 as per the given fractions.
LCM of 157,414 is 64998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,5010
2 | 254, 5010 |
127, 2505 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 5010
List of positive integer factors of 5010 that divides 5010 without a remainder.
1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 254,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 254,5010 is 2.
Lets's calculate LCM of 157,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 64998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64998
Therefore, the GCF of Fractions 254/157,5010/414 is 2/64998
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 157,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,414) x common factors =1 x 1 = 1
LCM(157,414) = ( 157 × 414 ) / 1
LCM(157,414) = 64998 / 1
LCM(157,414) = 64998
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 254/157, 5010/414?
Answer: GCF of Numerators as per given numbers 254/157, 5010/414 is
GCF of Numerators i.e. for 254,5010 is 2
LCM of denominators i.e. for 157,414 is 64998.
Thus, GCF of Fractions is 2/64998.Finally, GCF of Fractions for 254/157, 5010/414 is 2/64998.