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GCF of 716/592, 181/694

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 716/592, 181/694 i.e 1/205424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/592, 181/694.

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 716/592,181/694?

Given fractions are 716/592,181/694

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 716/592,181/694, numerators are 716,181

Denominators are 592,694

The GCF of 716,181 is 1 .

LCM of 592,694 is 205424.

The greatest common factor of 716/592,181/694 = [GCF of 716,181]/[LCM of 592,694]= 1/205424

Therefore, the GCF of 716/592,181/694 is 1/205424.

Greatest Common Factor of 716,181

To find the highest common factor of 716,181, we have to find the factors of both numbers and list the highest common factor.

The factors of 716 are 1, 2, 4, 179, 358, 716

The factors of 181 are 1, 181

The HCF of 716,181 is 1.

Lets's calculate GCF of 716,181

Greatest Common Factor (GCF) of 716,181 By Common Division

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

Greatest Common Factor of 716,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,181 By Matching Biggest Common Factor Method

Now, list down the factors of 716

:

1,2,4,179,358,716

Now, list down the factors of 181

:

1,181

Greatest Common Factor

We found the factors 716,181 . The biggest common factor number is the GCF number.
So the greatest common factor 716,181 is 1.

Lets's calculate LCM of 592,694

Lowest Common Multiple of 592,694 using Common Division

2 592, 694
296, 347

∴ So the LCM of the given numbers is 2 x 296 x 347 = 205424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205424

Therefore, the GCF of Fractions 716/592,181/694 is 1/205424

Least Common Multiple of 592,694 with GCF Formula

Least Common Multiple of 592,694 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 592,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,694) = 2

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

GCF(592,694) x common factors =2 x 1 = 2

LCM(592,694) = ( 592 × 694 ) / 2

LCM(592,694) = 410848 / 2

LCM(592,694) = 205424


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FAQs on GCF of Fractions of 716/592, 181/694

1. What is the HCF of 716,181?

The HCF of 716,181 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 716/592, 181/694?

Answer: GCF of Numerators as per given numbers 716/592, 181/694 is

GCF of Numerators i.e. for 716,181 is 1

LCM of denominators i.e. for 592,694 is 205424.

Thus, GCF of Fractions is 1/205424.Finally, GCF of Fractions for 716/592, 181/694 is 1/205424.