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GCF of 29/362, 6749/9418

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 29/362, 6749/9418 i.e 1/1704658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/362, 6749/9418.

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 29/362,6749/9418?

Given fractions are 29/362,6749/9418

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 29/362,6749/9418, numerators are 29,6749

Denominators are 362,9418

The GCF of 29,6749 is 1 .

LCM of 362,9418 is 1704658.

The greatest common factor of 29/362,6749/9418 = [GCF of 29,6749]/[LCM of 362,9418]= 1/1704658

Therefore, the GCF of 29/362,6749/9418 is 1/1704658.

Greatest Common Factor of 29,6749

To find the highest common factor of 29,6749, we have to find the factors of both numbers and list the highest common factor.

The factors of 29 are 1, 29

The factors of 6749 are 1, 17, 397, 6749

The HCF of 29,6749 is 1.

Lets's calculate GCF of 29,6749

Greatest Common Factor (GCF) of 29,6749 By Common Division

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

Greatest Common Factor of 29,6749 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,6749 By Matching Biggest Common Factor Method

Now, list down the factors of 29

:

1,29

Now, list down the factors of 6749

:

1,17,397,6749

Greatest Common Factor

We found the factors 29,6749 . The biggest common factor number is the GCF number.
So the greatest common factor 29,6749 is 1.

Lets's calculate LCM of 362,9418

Lowest Common Multiple of 362,9418 using Common Division

2 362, 9418
181, 4709

∴ So the LCM of the given numbers is 2 x 181 x 4709 = 1704658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704658

Therefore, the GCF of Fractions 29/362,6749/9418 is 1/1704658

Least Common Multiple of 362,9418 with GCF Formula

Least Common Multiple of 362,9418 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 362,9418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,9418) = 2

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

GCF(362,9418) x common factors =2 x 1 = 2

LCM(362,9418) = ( 362 × 9418 ) / 2

LCM(362,9418) = 3409316 / 2

LCM(362,9418) = 1704658


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FAQs on GCF of Fractions of 29/362, 6749/9418

1. What is the HCF of 29,6749?

The HCF of 29,6749 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 29/362, 6749/9418?

Answer: GCF of Numerators as per given numbers 29/362, 6749/9418 is

GCF of Numerators i.e. for 29,6749 is 1

LCM of denominators i.e. for 362,9418 is 1704658.

Thus, GCF of Fractions is 1/1704658.Finally, GCF of Fractions for 29/362, 6749/9418 is 1/1704658.