Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/627,7860/1364
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 70,7860
Greatest Common Factor of Numerators i.e. GCF of 70,7860 is 10 .
LCM of Denominators means LCM of 627,1364 as per the given fractions.
LCM of 627,1364 is 77748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,7860
2 | 70, 7860 |
5 | 35, 3930 |
7, 786 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 7860
List of positive integer factors of 7860 that divides 7860 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860
Greatest Common Factor
We found the factors 70,7860 . The biggest common factor number is the GCF number.
So the greatest common factor 70,7860 is 10.
Lets's calculate LCM of 627,1364
11 | 627, 1364 |
57, 124 |
∴ So the LCM of the given numbers is 11 x 57 x 124 = 77748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/77748
Therefore, the GCF of Fractions 70/627,7860/1364 is 10/77748
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 627,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,1364) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(627,1364) x common factors =11 x 1 = 11
LCM(627,1364) = ( 627 × 1364 ) / 11
LCM(627,1364) = 855228 / 11
LCM(627,1364) = 77748
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 70/627, 7860/1364?
Answer: GCF of Numerators as per given numbers 70/627, 7860/1364 is
GCF of Numerators i.e. for 70,7860 is 10
LCM of denominators i.e. for 627,1364 is 77748.
Thus, GCF of Fractions is 10/77748.Finally, GCF of Fractions for 70/627, 7860/1364 is 10/77748.