Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6162/760,4810/5340
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 6162,4810
Greatest Common Factor of Numerators i.e. GCF of 6162,4810 is 26 .
LCM of Denominators means LCM of 760,5340 as per the given fractions.
LCM of 760,5340 is 202920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6162,4810
2 | 6162, 4810 |
13 | 3081, 2405 |
237, 185 |
∴ So the GCF of the given numbers is 2 x 13 = 26
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 4810
List of positive integer factors of 4810 that divides 4810 without a remainder.
1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810
Greatest Common Factor
We found the factors 6162,4810 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,4810 is 26.
Lets's calculate LCM of 760,5340
2 | 760, 5340 |
2 | 380, 2670 |
5 | 190, 1335 |
38, 267 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 38 x 267 = 202920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/202920
Therefore, the GCF of Fractions 6162/760,4810/5340 is 26/202920
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 760,5340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,5340) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(760,5340) x common factors =20 x 1 = 20
LCM(760,5340) = ( 760 × 5340 ) / 20
LCM(760,5340) = 4058400 / 20
LCM(760,5340) = 202920
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 6162/760, 4810/5340?
Answer: GCF of Numerators as per given numbers 6162/760, 4810/5340 is
GCF of Numerators i.e. for 6162,4810 is 26
LCM of denominators i.e. for 760,5340 is 202920.
Thus, GCF of Fractions is 26/202920.Finally, GCF of Fractions for 6162/760, 4810/5340 is 26/202920.