Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9902/36,1134/572
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 9902,1134
Greatest Common Factor of Numerators i.e. GCF of 9902,1134 is 2 .
LCM of Denominators means LCM of 36,572 as per the given fractions.
LCM of 36,572 is 5148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9902,1134
2 | 9902, 1134 |
4951, 567 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9902
List of positive integer factors of 9902 that divides 9902 without a remainder.
1,2,4951,9902
Factors of 1134
List of positive integer factors of 1134 that divides 1134 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134
Greatest Common Factor
We found the factors 9902,1134 . The biggest common factor number is the GCF number.
So the greatest common factor 9902,1134 is 2.
Lets's calculate LCM of 36,572
2 | 36, 572 |
2 | 18, 286 |
9, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 143 = 5148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5148
Therefore, the GCF of Fractions 9902/36,1134/572 is 2/5148
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 36,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,572) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(36,572) x common factors =4 x 1 = 4
LCM(36,572) = ( 36 × 572 ) / 4
LCM(36,572) = 20592 / 4
LCM(36,572) = 5148
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 9902/36, 1134/572?
Answer: GCF of Numerators as per given numbers 9902/36, 1134/572 is
GCF of Numerators i.e. for 9902,1134 is 2
LCM of denominators i.e. for 36,572 is 5148.
Thus, GCF of Fractions is 2/5148.Finally, GCF of Fractions for 9902/36, 1134/572 is 2/5148.