Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/171,64/413,322/638
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 32,64,322
Greatest Common Factor of Numerators i.e. GCF of 32,64,322 is 2 .
LCM of Denominators means LCM of 171,413,638 as per the given fractions.
LCM of 171,413,638 is 45057474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,64,322
2 | 32, 64, 322 |
16, 32, 161 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 32,64,322 . The biggest common factor number is the GCF number.
So the greatest common factor 32,64,322 is 2.
Lets's calculate LCM of 171,413,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 45057474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45057474
Therefore, the GCF of Fractions 32/171,64/413,322/638 is 2/45057474
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 171,413,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,413,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,413,638) x common factors =1 x 1 = 1
LCM(171,413,638) = ( 171 × 413 × 638 ) / 1
LCM(171,413,638) = 45057474 / 1
LCM(171,413,638) = 45057474
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 32/171, 64/413, 322/638?
Answer: GCF of Numerators as per given numbers 32/171, 64/413, 322/638 is
GCF of Numerators i.e. for 32,64,322 is 2
LCM of denominators i.e. for 171,413,638 is 45057474.
Thus, GCF of Fractions is 2/45057474.Finally, GCF of Fractions for 32/171, 64/413, 322/638 is 2/45057474.