Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/28,217/31,376/139
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 129,217,376
Greatest Common Factor of Numerators i.e. GCF of 129,217,376 is 1 .
LCM of Denominators means LCM of 28,31,139 as per the given fractions.
LCM of 28,31,139 is 120652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,217,376
∴ 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 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 129,217,376 . The biggest common factor number is the GCF number.
So the greatest common factor 129,217,376 is 1.
Lets's calculate LCM of 28,31,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 120652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120652
Therefore, the GCF of Fractions 129/28,217/31,376/139 is 1/120652
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 28,31,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,31,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,31,139) x common factors =1 x 1 = 1
LCM(28,31,139) = ( 28 × 31 × 139 ) / 1
LCM(28,31,139) = 120652 / 1
LCM(28,31,139) = 120652
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 129/28, 217/31, 376/139?
Answer: GCF of Numerators as per given numbers 129/28, 217/31, 376/139 is
GCF of Numerators i.e. for 129,217,376 is 1
LCM of denominators i.e. for 28,31,139 is 120652.
Thus, GCF of Fractions is 1/120652.Finally, GCF of Fractions for 129/28, 217/31, 376/139 is 1/120652.