Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/37,7356/876
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 492,7356
Greatest Common Factor of Numerators i.e. GCF of 492,7356 is 12 .
LCM of Denominators means LCM of 37,876 as per the given fractions.
LCM of 37,876 is 32412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,7356
2 | 492, 7356 |
2 | 246, 3678 |
3 | 123, 1839 |
41, 613 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 7356
List of positive integer factors of 7356 that divides 7356 without a remainder.
1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors 492,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 492,7356 is 12.
Lets's calculate LCM of 37,876
Given numbers has no common factors except 1. So, there LCM is their product i.e 32412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/32412
Therefore, the GCF of Fractions 492/37,7356/876 is 12/32412
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 37,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,876) x common factors =1 x 1 = 1
LCM(37,876) = ( 37 × 876 ) / 1
LCM(37,876) = 32412 / 1
LCM(37,876) = 32412
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 492/37, 7356/876?
Answer: GCF of Numerators as per given numbers 492/37, 7356/876 is
GCF of Numerators i.e. for 492,7356 is 12
LCM of denominators i.e. for 37,876 is 32412.
Thus, GCF of Fractions is 12/32412.Finally, GCF of Fractions for 492/37, 7356/876 is 12/32412.