Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1070/226,7089/636
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 1070,7089
Greatest Common Factor of Numerators i.e. GCF of 1070,7089 is 1 .
LCM of Denominators means LCM of 226,636 as per the given fractions.
LCM of 226,636 is 71868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1070,7089
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Factors of 7089
List of positive integer factors of 7089 that divides 7089 without a remainder.
1,3,17,51,139,417,2363,7089
Greatest Common Factor
We found the factors 1070,7089 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,7089 is 1.
Lets's calculate LCM of 226,636
2 | 226, 636 |
113, 318 |
∴ So the LCM of the given numbers is 2 x 113 x 318 = 71868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71868
Therefore, the GCF of Fractions 1070/226,7089/636 is 1/71868
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 226,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,636) x common factors =2 x 1 = 2
LCM(226,636) = ( 226 × 636 ) / 2
LCM(226,636) = 143736 / 2
LCM(226,636) = 71868
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 1070/226, 7089/636?
Answer: GCF of Numerators as per given numbers 1070/226, 7089/636 is
GCF of Numerators i.e. for 1070,7089 is 1
LCM of denominators i.e. for 226,636 is 71868.
Thus, GCF of Fractions is 1/71868.Finally, GCF of Fractions for 1070/226, 7089/636 is 1/71868.