Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/79,94/55,248/339
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 56,94,248
Greatest Common Factor of Numerators i.e. GCF of 56,94,248 is 2 .
LCM of Denominators means LCM of 79,55,339 as per the given fractions.
LCM of 79,55,339 is 1472955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,94,248
2 | 56, 94, 248 |
28, 47, 124 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 56,94,248 . The biggest common factor number is the GCF number.
So the greatest common factor 56,94,248 is 2.
Lets's calculate LCM of 79,55,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 1472955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1472955
Therefore, the GCF of Fractions 56/79,94/55,248/339 is 2/1472955
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 79,55,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,55,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,55,339) x common factors =1 x 1 = 1
LCM(79,55,339) = ( 79 × 55 × 339 ) / 1
LCM(79,55,339) = 1472955 / 1
LCM(79,55,339) = 1472955
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 56/79, 94/55, 248/339?
Answer: GCF of Numerators as per given numbers 56/79, 94/55, 248/339 is
GCF of Numerators i.e. for 56,94,248 is 2
LCM of denominators i.e. for 79,55,339 is 1472955.
Thus, GCF of Fractions is 2/1472955.Finally, GCF of Fractions for 56/79, 94/55, 248/339 is 2/1472955.