Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7957/807,9531/4757
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 7957,9531
Greatest Common Factor of Numerators i.e. GCF of 7957,9531 is 1 .
LCM of Denominators means LCM of 807,4757 as per the given fractions.
LCM of 807,4757 is 3838899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7957,9531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7957
List of positive integer factors of 7957 that divides 7957 without a remainder.
1,73,109,7957
Factors of 9531
List of positive integer factors of 9531 that divides 9531 without a remainder.
1,3,9,27,353,1059,3177,9531
Greatest Common Factor
We found the factors 7957,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 7957,9531 is 1.
Lets's calculate LCM of 807,4757
Given numbers has no common factors except 1. So, there LCM is their product i.e 3838899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3838899
Therefore, the GCF of Fractions 7957/807,9531/4757 is 1/3838899
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 807,4757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,4757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,4757) x common factors =1 x 1 = 1
LCM(807,4757) = ( 807 × 4757 ) / 1
LCM(807,4757) = 3838899 / 1
LCM(807,4757) = 3838899
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 7957/807, 9531/4757?
Answer: GCF of Numerators as per given numbers 7957/807, 9531/4757 is
GCF of Numerators i.e. for 7957,9531 is 1
LCM of denominators i.e. for 807,4757 is 3838899.
Thus, GCF of Fractions is 1/3838899.Finally, GCF of Fractions for 7957/807, 9531/4757 is 1/3838899.