Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/853,4136/922
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 635,4136
Greatest Common Factor of Numerators i.e. GCF of 635,4136 is 1 .
LCM of Denominators means LCM of 853,922 as per the given fractions.
LCM of 853,922 is 786466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,4136
∴ 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 4136
List of positive integer factors of 4136 that divides 4136 without a remainder.
1,2,4,8,11,22,44,47,88,94,188,376,517,1034,2068,4136
Greatest Common Factor
We found the factors 635,4136 . The biggest common factor number is the GCF number.
So the greatest common factor 635,4136 is 1.
Lets's calculate LCM of 853,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 786466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786466
Therefore, the GCF of Fractions 635/853,4136/922 is 1/786466
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 853,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,922) x common factors =1 x 1 = 1
LCM(853,922) = ( 853 × 922 ) / 1
LCM(853,922) = 786466 / 1
LCM(853,922) = 786466
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 635/853, 4136/922?
Answer: GCF of Numerators as per given numbers 635/853, 4136/922 is
GCF of Numerators i.e. for 635,4136 is 1
LCM of denominators i.e. for 853,922 is 786466.
Thus, GCF of Fractions is 1/786466.Finally, GCF of Fractions for 635/853, 4136/922 is 1/786466.