LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 39/634, 29/6744

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 39/634, 29/6744 i.e 1/2137848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/634, 29/6744.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 39/634,29/6744?

Given fractions are 39/634,29/6744

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 39/634,29/6744, numerators are 39,29

Denominators are 634,6744

The GCF of 39,29 is 1 .

LCM of 634,6744 is 2137848.

The greatest common factor of 39/634,29/6744 = [GCF of 39,29]/[LCM of 634,6744]= 1/2137848

Therefore, the GCF of 39/634,29/6744 is 1/2137848.

Greatest Common Factor of 39,29

To find the highest common factor of 39,29, we have to find the factors of both numbers and list the highest common factor.

The factors of 39 are 1, 3, 13, 39

The factors of 29 are 1, 29

The HCF of 39,29 is 1.

Lets's calculate GCF of 39,29

Greatest Common Factor (GCF) of 39,29 By Common Division

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

Greatest Common Factor of 39,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,29 By Matching Biggest Common Factor Method

Now, list down the factors of 39

:

1,3,13,39

Now, list down the factors of 29

:

1,29

Greatest Common Factor

We found the factors 39,29 . The biggest common factor number is the GCF number.
So the greatest common factor 39,29 is 1.

Lets's calculate LCM of 634,6744

Lowest Common Multiple of 634,6744 using Common Division

2 634, 6744
317, 3372

∴ So the LCM of the given numbers is 2 x 317 x 3372 = 2137848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2137848

Therefore, the GCF of Fractions 39/634,29/6744 is 1/2137848

Least Common Multiple of 634,6744 with GCF Formula

Least Common Multiple of 634,6744 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 634,6744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,6744) = 2

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

GCF(634,6744) x common factors =2 x 1 = 2

LCM(634,6744) = ( 634 × 6744 ) / 2

LCM(634,6744) = 4275696 / 2

LCM(634,6744) = 2137848


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 39/634, 29/6744

1. What is the HCF of 39,29?

The HCF of 39,29 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 39/634, 29/6744?

Answer: GCF of Numerators as per given numbers 39/634, 29/6744 is

GCF of Numerators i.e. for 39,29 is 1

LCM of denominators i.e. for 634,6744 is 2137848.

Thus, GCF of Fractions is 1/2137848.Finally, GCF of Fractions for 39/634, 29/6744 is 1/2137848.