Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3614/375,5442/6555
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 3614,5442
Greatest Common Factor of Numerators i.e. GCF of 3614,5442 is 2 .
LCM of Denominators means LCM of 375,6555 as per the given fractions.
LCM of 375,6555 is 163875 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3614,5442
2 | 3614, 5442 |
1807, 2721 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3614
List of positive integer factors of 3614 that divides 3614 without a remainder.
1,2,13,26,139,278,1807,3614
Factors of 5442
List of positive integer factors of 5442 that divides 5442 without a remainder.
1,2,3,6,907,1814,2721,5442
Greatest Common Factor
We found the factors 3614,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 3614,5442 is 2.
Lets's calculate LCM of 375,6555
3 | 375, 6555 |
5 | 125, 2185 |
25, 437 |
∴ So the LCM of the given numbers is 3 x 5 x 25 x 437 = 163875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/163875
Therefore, the GCF of Fractions 3614/375,5442/6555 is 2/163875
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 375,6555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,6555) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(375,6555) x common factors =15 x 1 = 15
LCM(375,6555) = ( 375 × 6555 ) / 15
LCM(375,6555) = 2458125 / 15
LCM(375,6555) = 163875
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 3614/375, 5442/6555?
Answer: GCF of Numerators as per given numbers 3614/375, 5442/6555 is
GCF of Numerators i.e. for 3614,5442 is 2
LCM of denominators i.e. for 375,6555 is 163875.
Thus, GCF of Fractions is 2/163875.Finally, GCF of Fractions for 3614/375, 5442/6555 is 2/163875.