Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1163/129,8921/358
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 1163,8921
Greatest Common Factor of Numerators i.e. GCF of 1163,8921 is 1 .
LCM of Denominators means LCM of 129,358 as per the given fractions.
LCM of 129,358 is 46182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1163,8921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1163
List of positive integer factors of 1163 that divides 1163 without a remainder.
1,1163
Factors of 8921
List of positive integer factors of 8921 that divides 8921 without a remainder.
1,11,811,8921
Greatest Common Factor
We found the factors 1163,8921 . The biggest common factor number is the GCF number.
So the greatest common factor 1163,8921 is 1.
Lets's calculate LCM of 129,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 46182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46182
Therefore, the GCF of Fractions 1163/129,8921/358 is 1/46182
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 129,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,358) x common factors =1 x 1 = 1
LCM(129,358) = ( 129 × 358 ) / 1
LCM(129,358) = 46182 / 1
LCM(129,358) = 46182
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 1163/129, 8921/358?
Answer: GCF of Numerators as per given numbers 1163/129, 8921/358 is
GCF of Numerators i.e. for 1163,8921 is 1
LCM of denominators i.e. for 129,358 is 46182.
Thus, GCF of Fractions is 1/46182.Finally, GCF of Fractions for 1163/129, 8921/358 is 1/46182.