Greatest Common Factor of 6762/754, 1426/4659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6762/754, 1426/4659

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 6762/754,1426/4659

Given fractions are 6762/754,1426/4659

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 6762,1426

Greatest Common Factor of Numerators i.e. GCF of 6762,1426 is 46 .

LCM of Denominators means LCM of 754,4659 as per the given fractions.

LCM of 754,4659 is 3512886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6762,1426

GCF of Fractions 6762/754,1426/4659 is 46/3512886

2 6762, 1426
23 3381, 713
147, 31

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 6762,1426 By Matching Biggest Common Factor Method

Greatest Common Factor of 6762,1426 By Matching Biggest Common Factor Method

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1,2,23,31,46,62,713,1426

Greatest Common Factor

We found the factors 6762,1426 . The biggest common factor number is the GCF number.
So the greatest common factor 6762,1426 is 46.

Lets's calculate LCM of 754,4659

Given numbers has no common factors except 1. So, there LCM is their product i.e 3512886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/3512886

Therefore, the GCF of Fractions 6762/754,1426/4659 is 46/3512886

Least Common Multiple of 754,4659 with GCF Formula

Least Common Multiple of 754,4659 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 754,4659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,4659) = 1

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

GCF(754,4659) x common factors =1 x 1 = 1

LCM(754,4659) = ( 754 × 4659 ) / 1

LCM(754,4659) = 3512886 / 1

LCM(754,4659) = 3512886


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 6762/754, 1426/4659

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 6762/754, 1426/4659?

Answer: GCF of Numerators as per given numbers 6762/754, 1426/4659 is

GCF of Numerators i.e. for 6762,1426 is 46

LCM of denominators i.e. for 754,4659 is 3512886.

Thus, GCF of Fractions is 46/3512886.Finally, GCF of Fractions for 6762/754, 1426/4659 is 46/3512886.