Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7926/709,6265/342
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 7926,6265
Greatest Common Factor of Numerators i.e. GCF of 7926,6265 is 1 .
LCM of Denominators means LCM of 709,342 as per the given fractions.
LCM of 709,342 is 242478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7926,6265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7926
List of positive integer factors of 7926 that divides 7926 without a remainder.
1,2,3,6,1321,2642,3963,7926
Factors of 6265
List of positive integer factors of 6265 that divides 6265 without a remainder.
1,5,7,35,179,895,1253,6265
Greatest Common Factor
We found the factors 7926,6265 . The biggest common factor number is the GCF number.
So the greatest common factor 7926,6265 is 1.
Lets's calculate LCM of 709,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 242478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242478
Therefore, the GCF of Fractions 7926/709,6265/342 is 1/242478
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 709,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,342) x common factors =1 x 1 = 1
LCM(709,342) = ( 709 × 342 ) / 1
LCM(709,342) = 242478 / 1
LCM(709,342) = 242478
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 7926/709, 6265/342?
Answer: GCF of Numerators as per given numbers 7926/709, 6265/342 is
GCF of Numerators i.e. for 7926,6265 is 1
LCM of denominators i.e. for 709,342 is 242478.
Thus, GCF of Fractions is 1/242478.Finally, GCF of Fractions for 7926/709, 6265/342 is 1/242478.