Greatest Common Factor of 746/64, 829/40, 734/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 746/64, 829/40, 734/428

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 746/64,829/40,734/428

Given fractions are 746/64,829/40,734/428

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 746,829,734

Greatest Common Factor of Numerators i.e. GCF of 746,829,734 is 1 .

LCM of Denominators means LCM of 64,40,428 as per the given fractions.

LCM of 64,40,428 is 34240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 746,829,734

GCF of Fractions 746/64,829/40,734/428 is 1/34240

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 746,829,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,829,734 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 746,829,734 . The biggest common factor number is the GCF number.
So the greatest common factor 746,829,734 is 1.

Lets's calculate LCM of 64,40,428

2 64, 40, 428
2 32, 20, 214
2 16, 10, 107
8, 5, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 5 x 107 = 34240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34240

Therefore, the GCF of Fractions 746/64,829/40,734/428 is 1/34240

Least Common Multiple of 64,40,428 with GCF Formula

Least Common Multiple of 64,40,428 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 64,40,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,40,428) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(64,40,428) x common factors =4 x 8 = 32

LCM(64,40,428) = ( 64 × 40 × 428 ) / 32

LCM(64,40,428) = 1095680 / 32

LCM(64,40,428) = 34240


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 746/64, 829/40, 734/428

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 746/64, 829/40, 734/428?

Answer: GCF of Numerators as per given numbers 746/64, 829/40, 734/428 is

GCF of Numerators i.e. for 746,829,734 is 1

LCM of denominators i.e. for 64,40,428 is 34240.

Thus, GCF of Fractions is 1/34240.Finally, GCF of Fractions for 746/64, 829/40, 734/428 is 1/34240.