Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8147/722,6623/7896
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 8147,6623
Greatest Common Factor of Numerators i.e. GCF of 8147,6623 is 1 .
LCM of Denominators means LCM of 722,7896 as per the given fractions.
LCM of 722,7896 is 2850456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8147,6623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8147
List of positive integer factors of 8147 that divides 8147 without a remainder.
1,8147
Factors of 6623
List of positive integer factors of 6623 that divides 6623 without a remainder.
1,37,179,6623
Greatest Common Factor
We found the factors 8147,6623 . The biggest common factor number is the GCF number.
So the greatest common factor 8147,6623 is 1.
Lets's calculate LCM of 722,7896
2 | 722, 7896 |
361, 3948 |
∴ So the LCM of the given numbers is 2 x 361 x 3948 = 2850456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2850456
Therefore, the GCF of Fractions 8147/722,6623/7896 is 1/2850456
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 722,7896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,7896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,7896) x common factors =2 x 1 = 2
LCM(722,7896) = ( 722 × 7896 ) / 2
LCM(722,7896) = 5700912 / 2
LCM(722,7896) = 2850456
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 8147/722, 6623/7896?
Answer: GCF of Numerators as per given numbers 8147/722, 6623/7896 is
GCF of Numerators i.e. for 8147,6623 is 1
LCM of denominators i.e. for 722,7896 is 2850456.
Thus, GCF of Fractions is 1/2850456.Finally, GCF of Fractions for 8147/722, 6623/7896 is 1/2850456.