Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8620/934,2701/354
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 8620,2701
Greatest Common Factor of Numerators i.e. GCF of 8620,2701 is 1 .
LCM of Denominators means LCM of 934,354 as per the given fractions.
LCM of 934,354 is 165318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8620,2701
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8620
List of positive integer factors of 8620 that divides 8620 without a remainder.
1,2,4,5,10,20,431,862,1724,2155,4310,8620
Factors of 2701
List of positive integer factors of 2701 that divides 2701 without a remainder.
1,37,73,2701
Greatest Common Factor
We found the factors 8620,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 8620,2701 is 1.
Lets's calculate LCM of 934,354
2 | 934, 354 |
467, 177 |
∴ So the LCM of the given numbers is 2 x 467 x 177 = 165318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165318
Therefore, the GCF of Fractions 8620/934,2701/354 is 1/165318
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 934,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,354) x common factors =2 x 1 = 2
LCM(934,354) = ( 934 × 354 ) / 2
LCM(934,354) = 330636 / 2
LCM(934,354) = 165318
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 8620/934, 2701/354?
Answer: GCF of Numerators as per given numbers 8620/934, 2701/354 is
GCF of Numerators i.e. for 8620,2701 is 1
LCM of denominators i.e. for 934,354 is 165318.
Thus, GCF of Fractions is 1/165318.Finally, GCF of Fractions for 8620/934, 2701/354 is 1/165318.