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GCF of 17/362, 29/724

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 17/362, 29/724 i.e 1/724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/362, 29/724.

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 17/362,29/724?

Given fractions are 17/362,29/724

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 17/362,29/724, numerators are 17,29

Denominators are 362,724

The GCF of 17,29 is 1 .

LCM of 362,724 is 724.

The greatest common factor of 17/362,29/724 = [GCF of 17,29]/[LCM of 362,724]= 1/724

Therefore, the GCF of 17/362,29/724 is 1/724.

Greatest Common Factor of 17,29

To find the highest common factor of 17,29, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 29 are 1, 29

The HCF of 17,29 is 1.

Lets's calculate GCF of 17,29

Greatest Common Factor (GCF) of 17,29 By Common Division

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

Greatest Common Factor of 17,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,29 By Matching Biggest Common Factor Method

Now, list down the factors of 17

:

1,17

Now, list down the factors of 29

:

1,29

Greatest Common Factor

We found the factors 17,29 . The biggest common factor number is the GCF number.
So the greatest common factor 17,29 is 1.

Lets's calculate LCM of 362,724

Lowest Common Multiple of 362,724 using Common Division

2 362, 724
181 181, 362
1, 2

∴ So the LCM of the given numbers is 2 x 181 x 1 x 2 = 724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724

Therefore, the GCF of Fractions 17/362,29/724 is 1/724

Least Common Multiple of 362,724 with GCF Formula

Least Common Multiple of 362,724 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 362,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,724) = 362

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

GCF(362,724) x common factors =362 x 1 = 362

LCM(362,724) = ( 362 × 724 ) / 362

LCM(362,724) = 262088 / 362

LCM(362,724) = 724


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FAQs on GCF of Fractions of 17/362, 29/724

1. What is the HCF of 17,29?

The HCF of 17,29 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 17/362, 29/724?

Answer: GCF of Numerators as per given numbers 17/362, 29/724 is

GCF of Numerators i.e. for 17,29 is 1

LCM of denominators i.e. for 362,724 is 724.

Thus, GCF of Fractions is 1/724.Finally, GCF of Fractions for 17/362, 29/724 is 1/724.