Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/837,6938/977
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 130,6938
Greatest Common Factor of Numerators i.e. GCF of 130,6938 is 2 .
LCM of Denominators means LCM of 837,977 as per the given fractions.
LCM of 837,977 is 817749 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 130,6938
2 | 130, 6938 |
65, 3469 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 6938
List of positive integer factors of 6938 that divides 6938 without a remainder.
1,2,3469,6938
Greatest Common Factor
We found the factors 130,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 130,6938 is 2.
Lets's calculate LCM of 837,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 817749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/817749
Therefore, the GCF of Fractions 130/837,6938/977 is 2/817749
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 837,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,977) x common factors =1 x 1 = 1
LCM(837,977) = ( 837 × 977 ) / 1
LCM(837,977) = 817749 / 1
LCM(837,977) = 817749
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 130/837, 6938/977?
Answer: GCF of Numerators as per given numbers 130/837, 6938/977 is
GCF of Numerators i.e. for 130,6938 is 2
LCM of denominators i.e. for 837,977 is 817749.
Thus, GCF of Fractions is 2/817749.Finally, GCF of Fractions for 130/837, 6938/977 is 2/817749.