Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 417/853,1961/4380
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 417,1961
Greatest Common Factor of Numerators i.e. GCF of 417,1961 is 1 .
LCM of Denominators means LCM of 853,4380 as per the given fractions.
LCM of 853,4380 is 3736140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 417,1961
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 1961
List of positive integer factors of 1961 that divides 1961 without a remainder.
1,37,53,1961
Greatest Common Factor
We found the factors 417,1961 . The biggest common factor number is the GCF number.
So the greatest common factor 417,1961 is 1.
Lets's calculate LCM of 853,4380
Given numbers has no common factors except 1. So, there LCM is their product i.e 3736140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3736140
Therefore, the GCF of Fractions 417/853,1961/4380 is 1/3736140
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 853,4380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,4380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,4380) x common factors =1 x 1 = 1
LCM(853,4380) = ( 853 × 4380 ) / 1
LCM(853,4380) = 3736140 / 1
LCM(853,4380) = 3736140
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 417/853, 1961/4380?
Answer: GCF of Numerators as per given numbers 417/853, 1961/4380 is
GCF of Numerators i.e. for 417,1961 is 1
LCM of denominators i.e. for 853,4380 is 3736140.
Thus, GCF of Fractions is 1/3736140.Finally, GCF of Fractions for 417/853, 1961/4380 is 1/3736140.