Greatest Common Factor of 5898/153, 6786/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5898/153, 6786/786

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 5898/153,6786/786

Given fractions are 5898/153,6786/786

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 5898,6786

Greatest Common Factor of Numerators i.e. GCF of 5898,6786 is 6 .

LCM of Denominators means LCM of 153,786 as per the given fractions.

LCM of 153,786 is 40086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5898,6786

GCF of Fractions 5898/153,6786/786 is 6/40086

2 5898, 6786
3 2949, 3393
983, 1131

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5898,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 5898,6786 By Matching Biggest Common Factor Method

Factors of 5898

List of positive integer factors of 5898 that divides 5898 without a remainder.

1,2,3,6,983,1966,2949,5898

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 5898,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 5898,6786 is 6.

Lets's calculate LCM of 153,786

3 153, 786
51, 262

∴ So the LCM of the given numbers is 3 x 51 x 262 = 40086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/40086

Therefore, the GCF of Fractions 5898/153,6786/786 is 6/40086

Least Common Multiple of 153,786 with GCF Formula

Least Common Multiple of 153,786 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 153,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,786) = 3

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

GCF(153,786) x common factors =3 x 1 = 3

LCM(153,786) = ( 153 × 786 ) / 3

LCM(153,786) = 120258 / 3

LCM(153,786) = 40086


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 5898/153, 6786/786

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 5898/153, 6786/786?

Answer: GCF of Numerators as per given numbers 5898/153, 6786/786 is

GCF of Numerators i.e. for 5898,6786 is 6

LCM of denominators i.e. for 153,786 is 40086.

Thus, GCF of Fractions is 6/40086.Finally, GCF of Fractions for 5898/153, 6786/786 is 6/40086.