Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/82,152/643
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 671,152
Greatest Common Factor of Numerators i.e. GCF of 671,152 is 1 .
LCM of Denominators means LCM of 82,643 as per the given fractions.
LCM of 82,643 is 52726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 671,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 671,152 . The biggest common factor number is the GCF number.
So the greatest common factor 671,152 is 1.
Lets's calculate LCM of 82,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 52726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52726
Therefore, the GCF of Fractions 671/82,152/643 is 1/52726
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 82,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,643) x common factors =1 x 1 = 1
LCM(82,643) = ( 82 × 643 ) / 1
LCM(82,643) = 52726 / 1
LCM(82,643) = 52726
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 671/82, 152/643?
Answer: GCF of Numerators as per given numbers 671/82, 152/643 is
GCF of Numerators i.e. for 671,152 is 1
LCM of denominators i.e. for 82,643 is 52726.
Thus, GCF of Fractions is 1/52726.Finally, GCF of Fractions for 671/82, 152/643 is 1/52726.