Greatest Common Factor of 748/40, 429/6086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/40, 429/6086

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 748/40,429/6086

Given fractions are 748/40,429/6086

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 748,429

Greatest Common Factor of Numerators i.e. GCF of 748,429 is 11 .

LCM of Denominators means LCM of 40,6086 as per the given fractions.

LCM of 40,6086 is 121720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,429

GCF of Fractions 748/40,429/6086 is 11/121720

11 748, 429
68, 39

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 748,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,429 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 748,429 . The biggest common factor number is the GCF number.
So the greatest common factor 748,429 is 11.

Lets's calculate LCM of 40,6086

2 40, 6086
20, 3043

∴ So the LCM of the given numbers is 2 x 20 x 3043 = 121720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/121720

Therefore, the GCF of Fractions 748/40,429/6086 is 11/121720

Least Common Multiple of 40,6086 with GCF Formula

Least Common Multiple of 40,6086 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 40,6086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,6086) = 2

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

GCF(40,6086) x common factors =2 x 1 = 2

LCM(40,6086) = ( 40 × 6086 ) / 2

LCM(40,6086) = 243440 / 2

LCM(40,6086) = 121720


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 748/40, 429/6086

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 748/40, 429/6086?

Answer: GCF of Numerators as per given numbers 748/40, 429/6086 is

GCF of Numerators i.e. for 748,429 is 11

LCM of denominators i.e. for 40,6086 is 121720.

Thus, GCF of Fractions is 11/121720.Finally, GCF of Fractions for 748/40, 429/6086 is 11/121720.