Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6162/666,1558/185
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 6162,1558
Greatest Common Factor of Numerators i.e. GCF of 6162,1558 is 2 .
LCM of Denominators means LCM of 666,185 as per the given fractions.
LCM of 666,185 is 3330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6162,1558
2 | 6162, 1558 |
3081, 779 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6162
List of positive integer factors of 6162 that divides 6162 without a remainder.
1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Factors of 1558
List of positive integer factors of 1558 that divides 1558 without a remainder.
1,2,19,38,41,82,779,1558
Greatest Common Factor
We found the factors 6162,1558 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,1558 is 2.
Lets's calculate LCM of 666,185
37 | 666, 185 |
18, 5 |
∴ So the LCM of the given numbers is 37 x 18 x 5 = 3330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3330
Therefore, the GCF of Fractions 6162/666,1558/185 is 2/3330
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 666,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,185) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(666,185) x common factors =37 x 1 = 37
LCM(666,185) = ( 666 × 185 ) / 37
LCM(666,185) = 123210 / 37
LCM(666,185) = 3330
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 6162/666, 1558/185?
Answer: GCF of Numerators as per given numbers 6162/666, 1558/185 is
GCF of Numerators i.e. for 6162,1558 is 2
LCM of denominators i.e. for 666,185 is 3330.
Thus, GCF of Fractions is 2/3330.Finally, GCF of Fractions for 6162/666, 1558/185 is 2/3330.