Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7637/554,3874/5366
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 7637,3874
Greatest Common Factor of Numerators i.e. GCF of 7637,3874 is 1 .
LCM of Denominators means LCM of 554,5366 as per the given fractions.
LCM of 554,5366 is 1486382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7637,3874
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7637
List of positive integer factors of 7637 that divides 7637 without a remainder.
1,7,1091,7637
Factors of 3874
List of positive integer factors of 3874 that divides 3874 without a remainder.
1,2,13,26,149,298,1937,3874
Greatest Common Factor
We found the factors 7637,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 7637,3874 is 1.
Lets's calculate LCM of 554,5366
2 | 554, 5366 |
277, 2683 |
∴ So the LCM of the given numbers is 2 x 277 x 2683 = 1486382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1486382
Therefore, the GCF of Fractions 7637/554,3874/5366 is 1/1486382
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 554,5366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,5366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,5366) x common factors =2 x 1 = 2
LCM(554,5366) = ( 554 × 5366 ) / 2
LCM(554,5366) = 2972764 / 2
LCM(554,5366) = 1486382
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 7637/554, 3874/5366?
Answer: GCF of Numerators as per given numbers 7637/554, 3874/5366 is
GCF of Numerators i.e. for 7637,3874 is 1
LCM of denominators i.e. for 554,5366 is 1486382.
Thus, GCF of Fractions is 1/1486382.Finally, GCF of Fractions for 7637/554, 3874/5366 is 1/1486382.