Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/26,124/3929
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 635,124
Greatest Common Factor of Numerators i.e. GCF of 635,124 is 1 .
LCM of Denominators means LCM of 26,3929 as per the given fractions.
LCM of 26,3929 is 102154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 635,124 . The biggest common factor number is the GCF number.
So the greatest common factor 635,124 is 1.
Lets's calculate LCM of 26,3929
Given numbers has no common factors except 1. So, there LCM is their product i.e 102154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102154
Therefore, the GCF of Fractions 635/26,124/3929 is 1/102154
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 26,3929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,3929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,3929) x common factors =1 x 1 = 1
LCM(26,3929) = ( 26 × 3929 ) / 1
LCM(26,3929) = 102154 / 1
LCM(26,3929) = 102154
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 635/26, 124/3929?
Answer: GCF of Numerators as per given numbers 635/26, 124/3929 is
GCF of Numerators i.e. for 635,124 is 1
LCM of denominators i.e. for 26,3929 is 102154.
Thus, GCF of Fractions is 1/102154.Finally, GCF of Fractions for 635/26, 124/3929 is 1/102154.