Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/397,9204/432
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 537,9204
Greatest Common Factor of Numerators i.e. GCF of 537,9204 is 3 .
LCM of Denominators means LCM of 397,432 as per the given fractions.
LCM of 397,432 is 171504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 537,9204
3 | 537, 9204 |
179, 3068 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 9204
List of positive integer factors of 9204 that divides 9204 without a remainder.
1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 537,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 537,9204 is 3.
Lets's calculate LCM of 397,432
Given numbers has no common factors except 1. So, there LCM is their product i.e 171504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/171504
Therefore, the GCF of Fractions 537/397,9204/432 is 3/171504
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 397,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,432) x common factors =1 x 1 = 1
LCM(397,432) = ( 397 × 432 ) / 1
LCM(397,432) = 171504 / 1
LCM(397,432) = 171504
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 537/397, 9204/432?
Answer: GCF of Numerators as per given numbers 537/397, 9204/432 is
GCF of Numerators i.e. for 537,9204 is 3
LCM of denominators i.e. for 397,432 is 171504.
Thus, GCF of Fractions is 3/171504.Finally, GCF of Fractions for 537/397, 9204/432 is 3/171504.