Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8953/451,9372/6538
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 8953,9372
Greatest Common Factor of Numerators i.e. GCF of 8953,9372 is 1 .
LCM of Denominators means LCM of 451,6538 as per the given fractions.
LCM of 451,6538 is 2948638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8953,9372
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1,7,1279,8953
Factors of 9372
List of positive integer factors of 9372 that divides 9372 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 8953,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 8953,9372 is 1.
Lets's calculate LCM of 451,6538
Given numbers has no common factors except 1. So, there LCM is their product i.e 2948638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2948638
Therefore, the GCF of Fractions 8953/451,9372/6538 is 1/2948638
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 451,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,6538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,6538) x common factors =1 x 1 = 1
LCM(451,6538) = ( 451 × 6538 ) / 1
LCM(451,6538) = 2948638 / 1
LCM(451,6538) = 2948638
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 8953/451, 9372/6538?
Answer: GCF of Numerators as per given numbers 8953/451, 9372/6538 is
GCF of Numerators i.e. for 8953,9372 is 1
LCM of denominators i.e. for 451,6538 is 2948638.
Thus, GCF of Fractions is 1/2948638.Finally, GCF of Fractions for 8953/451, 9372/6538 is 1/2948638.