Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9636/194,9002/996
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 9636,9002
Greatest Common Factor of Numerators i.e. GCF of 9636,9002 is 2 .
LCM of Denominators means LCM of 194,996 as per the given fractions.
LCM of 194,996 is 96612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9636,9002
2 | 9636, 9002 |
4818, 4501 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9636
List of positive integer factors of 9636 that divides 9636 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636
Factors of 9002
List of positive integer factors of 9002 that divides 9002 without a remainder.
1,2,7,14,643,1286,4501,9002
Greatest Common Factor
We found the factors 9636,9002 . The biggest common factor number is the GCF number.
So the greatest common factor 9636,9002 is 2.
Lets's calculate LCM of 194,996
2 | 194, 996 |
97, 498 |
∴ So the LCM of the given numbers is 2 x 97 x 498 = 96612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96612
Therefore, the GCF of Fractions 9636/194,9002/996 is 2/96612
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 194,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,996) x common factors =2 x 1 = 2
LCM(194,996) = ( 194 × 996 ) / 2
LCM(194,996) = 193224 / 2
LCM(194,996) = 96612
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 9636/194, 9002/996?
Answer: GCF of Numerators as per given numbers 9636/194, 9002/996 is
GCF of Numerators i.e. for 9636,9002 is 2
LCM of denominators i.e. for 194,996 is 96612.
Thus, GCF of Fractions is 2/96612.Finally, GCF of Fractions for 9636/194, 9002/996 is 2/96612.