Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/579,7922/869
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 925,7922
Greatest Common Factor of Numerators i.e. GCF of 925,7922 is 1 .
LCM of Denominators means LCM of 579,869 as per the given fractions.
LCM of 579,869 is 503151 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,7922
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 7922
List of positive integer factors of 7922 that divides 7922 without a remainder.
1,2,17,34,233,466,3961,7922
Greatest Common Factor
We found the factors 925,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 925,7922 is 1.
Lets's calculate LCM of 579,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 503151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503151
Therefore, the GCF of Fractions 925/579,7922/869 is 1/503151
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 579,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,869) x common factors =1 x 1 = 1
LCM(579,869) = ( 579 × 869 ) / 1
LCM(579,869) = 503151 / 1
LCM(579,869) = 503151
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 925/579, 7922/869?
Answer: GCF of Numerators as per given numbers 925/579, 7922/869 is
GCF of Numerators i.e. for 925,7922 is 1
LCM of denominators i.e. for 579,869 is 503151.
Thus, GCF of Fractions is 1/503151.Finally, GCF of Fractions for 925/579, 7922/869 is 1/503151.