Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3736/932,4016/6316
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 3736,4016
Greatest Common Factor of Numerators i.e. GCF of 3736,4016 is 8 .
LCM of Denominators means LCM of 932,6316 as per the given fractions.
LCM of 932,6316 is 1471628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3736,4016
2 | 3736, 4016 |
2 | 1868, 2008 |
2 | 934, 1004 |
467, 502 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 3736
List of positive integer factors of 3736 that divides 3736 without a remainder.
1,2,4,8,467,934,1868,3736
Factors of 4016
List of positive integer factors of 4016 that divides 4016 without a remainder.
1,2,4,8,16,251,502,1004,2008,4016
Greatest Common Factor
We found the factors 3736,4016 . The biggest common factor number is the GCF number.
So the greatest common factor 3736,4016 is 8.
Lets's calculate LCM of 932,6316
2 | 932, 6316 |
2 | 466, 3158 |
233, 1579 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 1579 = 1471628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1471628
Therefore, the GCF of Fractions 3736/932,4016/6316 is 8/1471628
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 932,6316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,6316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(932,6316) x common factors =4 x 1 = 4
LCM(932,6316) = ( 932 × 6316 ) / 4
LCM(932,6316) = 5886512 / 4
LCM(932,6316) = 1471628
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 3736/932, 4016/6316?
Answer: GCF of Numerators as per given numbers 3736/932, 4016/6316 is
GCF of Numerators i.e. for 3736,4016 is 8
LCM of denominators i.e. for 932,6316 is 1471628.
Thus, GCF of Fractions is 8/1471628.Finally, GCF of Fractions for 3736/932, 4016/6316 is 8/1471628.