Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/181,2651/672
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 129,2651
Greatest Common Factor of Numerators i.e. GCF of 129,2651 is 1 .
LCM of Denominators means LCM of 181,672 as per the given fractions.
LCM of 181,672 is 121632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,2651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 2651
List of positive integer factors of 2651 that divides 2651 without a remainder.
1,11,241,2651
Greatest Common Factor
We found the factors 129,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 129,2651 is 1.
Lets's calculate LCM of 181,672
Given numbers has no common factors except 1. So, there LCM is their product i.e 121632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121632
Therefore, the GCF of Fractions 129/181,2651/672 is 1/121632
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 181,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,672) x common factors =1 x 1 = 1
LCM(181,672) = ( 181 × 672 ) / 1
LCM(181,672) = 121632 / 1
LCM(181,672) = 121632
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 129/181, 2651/672?
Answer: GCF of Numerators as per given numbers 129/181, 2651/672 is
GCF of Numerators i.e. for 129,2651 is 1
LCM of denominators i.e. for 181,672 is 121632.
Thus, GCF of Fractions is 1/121632.Finally, GCF of Fractions for 129/181, 2651/672 is 1/121632.