Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/260,22/6210
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 77,22
Greatest Common Factor of Numerators i.e. GCF of 77,22 is 11 .
LCM of Denominators means LCM of 260,6210 as per the given fractions.
LCM of 260,6210 is 161460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,22
11 | 77, 22 |
7, 2 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 77,22 . The biggest common factor number is the GCF number.
So the greatest common factor 77,22 is 11.
Lets's calculate LCM of 260,6210
2 | 260, 6210 |
5 | 130, 3105 |
26, 621 |
∴ So the LCM of the given numbers is 2 x 5 x 26 x 621 = 161460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/161460
Therefore, the GCF of Fractions 77/260,22/6210 is 11/161460
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 260,6210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,6210) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(260,6210) x common factors =10 x 1 = 10
LCM(260,6210) = ( 260 × 6210 ) / 10
LCM(260,6210) = 1614600 / 10
LCM(260,6210) = 161460
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 77/260, 22/6210?
Answer: GCF of Numerators as per given numbers 77/260, 22/6210 is
GCF of Numerators i.e. for 77,22 is 11
LCM of denominators i.e. for 260,6210 is 161460.
Thus, GCF of Fractions is 11/161460.Finally, GCF of Fractions for 77/260, 22/6210 is 11/161460.