Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7278/870,1622/4115
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 7278,1622
Greatest Common Factor of Numerators i.e. GCF of 7278,1622 is 2 .
LCM of Denominators means LCM of 870,4115 as per the given fractions.
LCM of 870,4115 is 716010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7278,1622
2 | 7278, 1622 |
3639, 811 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7278
List of positive integer factors of 7278 that divides 7278 without a remainder.
1,2,3,6,1213,2426,3639,7278
Factors of 1622
List of positive integer factors of 1622 that divides 1622 without a remainder.
1,2,811,1622
Greatest Common Factor
We found the factors 7278,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 7278,1622 is 2.
Lets's calculate LCM of 870,4115
5 | 870, 4115 |
174, 823 |
∴ So the LCM of the given numbers is 5 x 174 x 823 = 716010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/716010
Therefore, the GCF of Fractions 7278/870,1622/4115 is 2/716010
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 870,4115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,4115) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(870,4115) x common factors =5 x 1 = 5
LCM(870,4115) = ( 870 × 4115 ) / 5
LCM(870,4115) = 3580050 / 5
LCM(870,4115) = 716010
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 7278/870, 1622/4115?
Answer: GCF of Numerators as per given numbers 7278/870, 1622/4115 is
GCF of Numerators i.e. for 7278,1622 is 2
LCM of denominators i.e. for 870,4115 is 716010.
Thus, GCF of Fractions is 2/716010.Finally, GCF of Fractions for 7278/870, 1622/4115 is 2/716010.