Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 637/91,852/11,146/163
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 637,852,146
Greatest Common Factor of Numerators i.e. GCF of 637,852,146 is 1 .
LCM of Denominators means LCM of 91,11,163 as per the given fractions.
LCM of 91,11,163 is 163163 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 637,852,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 637,852,146 . The biggest common factor number is the GCF number.
So the greatest common factor 637,852,146 is 1.
Lets's calculate LCM of 91,11,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 163163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163163
Therefore, the GCF of Fractions 637/91,852/11,146/163 is 1/163163
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 91,11,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,11,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,11,163) x common factors =1 x 1 = 1
LCM(91,11,163) = ( 91 × 11 × 163 ) / 1
LCM(91,11,163) = 163163 / 1
LCM(91,11,163) = 163163
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 637/91, 852/11, 146/163?
Answer: GCF of Numerators as per given numbers 637/91, 852/11, 146/163 is
GCF of Numerators i.e. for 637,852,146 is 1
LCM of denominators i.e. for 91,11,163 is 163163.
Thus, GCF of Fractions is 1/163163.Finally, GCF of Fractions for 637/91, 852/11, 146/163 is 1/163163.