Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 251/79,904/92,557/31
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 251,904,557
Greatest Common Factor of Numerators i.e. GCF of 251,904,557 is 1 .
LCM of Denominators means LCM of 79,92,31 as per the given fractions.
LCM of 79,92,31 is 225308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 251,904,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 251,904,557 . The biggest common factor number is the GCF number.
So the greatest common factor 251,904,557 is 1.
Lets's calculate LCM of 79,92,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 225308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225308
Therefore, the GCF of Fractions 251/79,904/92,557/31 is 1/225308
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 79,92,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,92,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,92,31) x common factors =1 x 1 = 1
LCM(79,92,31) = ( 79 × 92 × 31 ) / 1
LCM(79,92,31) = 225308 / 1
LCM(79,92,31) = 225308
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 251/79, 904/92, 557/31?
Answer: GCF of Numerators as per given numbers 251/79, 904/92, 557/31 is
GCF of Numerators i.e. for 251,904,557 is 1
LCM of denominators i.e. for 79,92,31 is 225308.
Thus, GCF of Fractions is 1/225308.Finally, GCF of Fractions for 251/79, 904/92, 557/31 is 1/225308.