Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8755/37,6422/302
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 8755,6422
Greatest Common Factor of Numerators i.e. GCF of 8755,6422 is 1 .
LCM of Denominators means LCM of 37,302 as per the given fractions.
LCM of 37,302 is 11174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8755,6422
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1,5,17,85,103,515,1751,8755
Factors of 6422
List of positive integer factors of 6422 that divides 6422 without a remainder.
1,2,13,19,26,38,169,247,338,494,3211,6422
Greatest Common Factor
We found the factors 8755,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 8755,6422 is 1.
Lets's calculate LCM of 37,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 11174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11174
Therefore, the GCF of Fractions 8755/37,6422/302 is 1/11174
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 37,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,302) x common factors =1 x 1 = 1
LCM(37,302) = ( 37 × 302 ) / 1
LCM(37,302) = 11174 / 1
LCM(37,302) = 11174
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 8755/37, 6422/302?
Answer: GCF of Numerators as per given numbers 8755/37, 6422/302 is
GCF of Numerators i.e. for 8755,6422 is 1
LCM of denominators i.e. for 37,302 is 11174.
Thus, GCF of Fractions is 1/11174.Finally, GCF of Fractions for 8755/37, 6422/302 is 1/11174.