Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 637/442,6913/332
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 637,6913
Greatest Common Factor of Numerators i.e. GCF of 637,6913 is 1 .
LCM of Denominators means LCM of 442,332 as per the given fractions.
LCM of 442,332 is 73372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 637,6913
∴ 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 6913
List of positive integer factors of 6913 that divides 6913 without a remainder.
1,31,223,6913
Greatest Common Factor
We found the factors 637,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 637,6913 is 1.
Lets's calculate LCM of 442,332
2 | 442, 332 |
221, 166 |
∴ So the LCM of the given numbers is 2 x 221 x 166 = 73372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73372
Therefore, the GCF of Fractions 637/442,6913/332 is 1/73372
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 442,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,332) x common factors =2 x 1 = 2
LCM(442,332) = ( 442 × 332 ) / 2
LCM(442,332) = 146744 / 2
LCM(442,332) = 73372
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 637/442, 6913/332?
Answer: GCF of Numerators as per given numbers 637/442, 6913/332 is
GCF of Numerators i.e. for 637,6913 is 1
LCM of denominators i.e. for 442,332 is 73372.
Thus, GCF of Fractions is 1/73372.Finally, GCF of Fractions for 637/442, 6913/332 is 1/73372.