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GCF of 491/78, 342/923

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 491/78, 342/923 i.e 1/5538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 491/78, 342/923.

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 491/78,342/923?

Given fractions are 491/78,342/923

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 491/78,342/923, numerators are 491,342

Denominators are 78,923

The GCF of 491,342 is 1 .

LCM of 78,923 is 5538.

The greatest common factor of 491/78,342/923 = [GCF of 491,342]/[LCM of 78,923]= 1/5538

Therefore, the GCF of 491/78,342/923 is 1/5538.

Greatest Common Factor of 491,342

To find the highest common factor of 491,342, we have to find the factors of both numbers and list the highest common factor.

The factors of 491 are 1, 491

The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

The HCF of 491,342 is 1.

Lets's calculate GCF of 491,342

Greatest Common Factor (GCF) of 491,342 By Common Division

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

Greatest Common Factor of 491,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,342 By Matching Biggest Common Factor Method

Now, list down the factors of 491

:

1,491

Now, list down the factors of 342

:

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 491,342 . The biggest common factor number is the GCF number.
So the greatest common factor 491,342 is 1.

Lets's calculate LCM of 78,923

Lowest Common Multiple of 78,923 using Common Division

13 78, 923
6, 71

∴ So the LCM of the given numbers is 13 x 6 x 71 = 5538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5538

Therefore, the GCF of Fractions 491/78,342/923 is 1/5538

Least Common Multiple of 78,923 with GCF Formula

Least Common Multiple of 78,923 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 78,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,923) = 13

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

GCF(78,923) x common factors =13 x 1 = 13

LCM(78,923) = ( 78 × 923 ) / 13

LCM(78,923) = 71994 / 13

LCM(78,923) = 5538


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FAQs on GCF of Fractions of 491/78, 342/923

1. What is the HCF of 491,342?

The HCF of 491,342 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 491/78, 342/923?

Answer: GCF of Numerators as per given numbers 491/78, 342/923 is

GCF of Numerators i.e. for 491,342 is 1

LCM of denominators i.e. for 78,923 is 5538.

Thus, GCF of Fractions is 1/5538.Finally, GCF of Fractions for 491/78, 342/923 is 1/5538.