Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6957/662,4991/7101
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 6957,4991
Greatest Common Factor of Numerators i.e. GCF of 6957,4991 is 1 .
LCM of Denominators means LCM of 662,7101 as per the given fractions.
LCM of 662,7101 is 4700862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6957,4991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6957
List of positive integer factors of 6957 that divides 6957 without a remainder.
1,3,9,773,2319,6957
Factors of 4991
List of positive integer factors of 4991 that divides 4991 without a remainder.
1,7,23,31,161,217,713,4991
Greatest Common Factor
We found the factors 6957,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 6957,4991 is 1.
Lets's calculate LCM of 662,7101
Given numbers has no common factors except 1. So, there LCM is their product i.e 4700862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4700862
Therefore, the GCF of Fractions 6957/662,4991/7101 is 1/4700862
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 662,7101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,7101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(662,7101) x common factors =1 x 1 = 1
LCM(662,7101) = ( 662 × 7101 ) / 1
LCM(662,7101) = 4700862 / 1
LCM(662,7101) = 4700862
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 6957/662, 4991/7101?
Answer: GCF of Numerators as per given numbers 6957/662, 4991/7101 is
GCF of Numerators i.e. for 6957,4991 is 1
LCM of denominators i.e. for 662,7101 is 4700862.
Thus, GCF of Fractions is 1/4700862.Finally, GCF of Fractions for 6957/662, 4991/7101 is 1/4700862.