Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/94,48/71,99/536,477/627
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 9,48,99,477
Greatest Common Factor of Numerators i.e. GCF of 9,48,99,477 is 3 .
LCM of Denominators means LCM of 94,71,536,627 as per the given fractions.
LCM of 94,71,536,627 is 1121472264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,48,99,477
3 | 9, 48, 99, 477 |
3, 16, 33, 159 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 9,48,99,477 . The biggest common factor number is the GCF number.
So the greatest common factor 9,48,99,477 is 3.
Lets's calculate LCM of 94,71,536,627
2 | 94, 71, 536, 627 |
47, 71, 268, 627 |
∴ So the LCM of the given numbers is 2 x 47 x 71 x 268 x 627 = 1121472264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1121472264
Therefore, the GCF of Fractions 9/94,48/71,99/536,477/627 is 3/1121472264
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 94,71,536,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,71,536,627) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,71,536,627) x common factors =1 x 2 = 2
LCM(94,71,536,627) = ( 94 × 71 × 536 × 627 ) / 2
LCM(94,71,536,627) = 2242944528 / 2
LCM(94,71,536,627) = 1121472264
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 9/94, 48/71, 99/536, 477/627?
Answer: GCF of Numerators as per given numbers 9/94, 48/71, 99/536, 477/627 is
GCF of Numerators i.e. for 9,48,99,477 is 3
LCM of denominators i.e. for 94,71,536,627 is 1121472264.
Thus, GCF of Fractions is 3/1121472264.Finally, GCF of Fractions for 9/94, 48/71, 99/536, 477/627 is 3/1121472264.