Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7321/37,7125/657
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 7321,7125
Greatest Common Factor of Numerators i.e. GCF of 7321,7125 is 1 .
LCM of Denominators means LCM of 37,657 as per the given fractions.
LCM of 37,657 is 24309 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7321,7125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7321
List of positive integer factors of 7321 that divides 7321 without a remainder.
1,7321
Factors of 7125
List of positive integer factors of 7125 that divides 7125 without a remainder.
1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 7321,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 7321,7125 is 1.
Lets's calculate LCM of 37,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 24309
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24309
Therefore, the GCF of Fractions 7321/37,7125/657 is 1/24309
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 37,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,657) x common factors =1 x 1 = 1
LCM(37,657) = ( 37 × 657 ) / 1
LCM(37,657) = 24309 / 1
LCM(37,657) = 24309
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 7321/37, 7125/657?
Answer: GCF of Numerators as per given numbers 7321/37, 7125/657 is
GCF of Numerators i.e. for 7321,7125 is 1
LCM of denominators i.e. for 37,657 is 24309.
Thus, GCF of Fractions is 1/24309.Finally, GCF of Fractions for 7321/37, 7125/657 is 1/24309.