Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/314,1613/617
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 952,1613
Greatest Common Factor of Numerators i.e. GCF of 952,1613 is 1 .
LCM of Denominators means LCM of 314,617 as per the given fractions.
LCM of 314,617 is 193738 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,1613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 1613
List of positive integer factors of 1613 that divides 1613 without a remainder.
1,1613
Greatest Common Factor
We found the factors 952,1613 . The biggest common factor number is the GCF number.
So the greatest common factor 952,1613 is 1.
Lets's calculate LCM of 314,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 193738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193738
Therefore, the GCF of Fractions 952/314,1613/617 is 1/193738
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 314,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,617) x common factors =1 x 1 = 1
LCM(314,617) = ( 314 × 617 ) / 1
LCM(314,617) = 193738 / 1
LCM(314,617) = 193738
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 952/314, 1613/617?
Answer: GCF of Numerators as per given numbers 952/314, 1613/617 is
GCF of Numerators i.e. for 952,1613 is 1
LCM of denominators i.e. for 314,617 is 193738.
Thus, GCF of Fractions is 1/193738.Finally, GCF of Fractions for 952/314, 1613/617 is 1/193738.