Greatest Common Factor of 6020/268, 9863/1851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6020/268, 9863/1851

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6020/268,9863/1851

Given fractions are 6020/268,9863/1851

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 6020,9863

Greatest Common Factor of Numerators i.e. GCF of 6020,9863 is 7 .

LCM of Denominators means LCM of 268,1851 as per the given fractions.

LCM of 268,1851 is 496068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6020,9863

GCF of Fractions 6020/268,9863/1851 is 7/496068

7 6020, 9863
860, 1409

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6020,9863 By Matching Biggest Common Factor Method

Greatest Common Factor of 6020,9863 By Matching Biggest Common Factor Method

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Factors of 9863

List of positive integer factors of 9863 that divides 9863 without a remainder.

1,7,1409,9863

Greatest Common Factor

We found the factors 6020,9863 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,9863 is 7.

Lets's calculate LCM of 268,1851

Given numbers has no common factors except 1. So, there LCM is their product i.e 496068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/496068

Therefore, the GCF of Fractions 6020/268,9863/1851 is 7/496068

Least Common Multiple of 268,1851 with GCF Formula

Least Common Multiple of 268,1851 with GCF Formula

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 268,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,1851) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(268,1851) x common factors =1 x 1 = 1

LCM(268,1851) = ( 268 × 1851 ) / 1

LCM(268,1851) = 496068 / 1

LCM(268,1851) = 496068


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6020/268, 9863/1851

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 6020/268, 9863/1851?

Answer: GCF of Numerators as per given numbers 6020/268, 9863/1851 is

GCF of Numerators i.e. for 6020,9863 is 7

LCM of denominators i.e. for 268,1851 is 496068.

Thus, GCF of Fractions is 7/496068.Finally, GCF of Fractions for 6020/268, 9863/1851 is 7/496068.