Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4408/271,8792/976
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 4408,8792
Greatest Common Factor of Numerators i.e. GCF of 4408,8792 is 8 .
LCM of Denominators means LCM of 271,976 as per the given fractions.
LCM of 271,976 is 264496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4408,8792
2 | 4408, 8792 |
2 | 2204, 4396 |
2 | 1102, 2198 |
551, 1099 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 4408
List of positive integer factors of 4408 that divides 4408 without a remainder.
1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
Factors of 8792
List of positive integer factors of 8792 that divides 8792 without a remainder.
1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792
Greatest Common Factor
We found the factors 4408,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,8792 is 8.
Lets's calculate LCM of 271,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 264496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/264496
Therefore, the GCF of Fractions 4408/271,8792/976 is 8/264496
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 271,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,976) x common factors =1 x 1 = 1
LCM(271,976) = ( 271 × 976 ) / 1
LCM(271,976) = 264496 / 1
LCM(271,976) = 264496
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 4408/271, 8792/976?
Answer: GCF of Numerators as per given numbers 4408/271, 8792/976 is
GCF of Numerators i.e. for 4408,8792 is 8
LCM of denominators i.e. for 271,976 is 264496.
Thus, GCF of Fractions is 8/264496.Finally, GCF of Fractions for 4408/271, 8792/976 is 8/264496.