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GCF of 743/204, 6042/854

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 743/204, 6042/854 i.e 1/87108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/204, 6042/854.

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 743/204,6042/854?

Given fractions are 743/204,6042/854

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 743/204,6042/854, numerators are 743,6042

Denominators are 204,854

The GCF of 743,6042 is 1 .

LCM of 204,854 is 87108.

The greatest common factor of 743/204,6042/854 = [GCF of 743,6042]/[LCM of 204,854]= 1/87108

Therefore, the GCF of 743/204,6042/854 is 1/87108.

Greatest Common Factor of 743,6042

To find the highest common factor of 743,6042, we have to find the factors of both numbers and list the highest common factor.

The factors of 743 are 1, 743

The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

The HCF of 743,6042 is 1.

Lets's calculate GCF of 743,6042

Greatest Common Factor (GCF) of 743,6042 By Common Division

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

Greatest Common Factor of 743,6042 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,6042 By Matching Biggest Common Factor Method

Now, list down the factors of 743

:

1,743

Now, list down the factors of 6042

:

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors 743,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 743,6042 is 1.

Lets's calculate LCM of 204,854

Lowest Common Multiple of 204,854 using Common Division

2 204, 854
102, 427

∴ So the LCM of the given numbers is 2 x 102 x 427 = 87108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87108

Therefore, the GCF of Fractions 743/204,6042/854 is 1/87108

Least Common Multiple of 204,854 with GCF Formula

Least Common Multiple of 204,854 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 204,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,854) = 2

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

GCF(204,854) x common factors =2 x 1 = 2

LCM(204,854) = ( 204 × 854 ) / 2

LCM(204,854) = 174216 / 2

LCM(204,854) = 87108


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FAQs on GCF of Fractions of 743/204, 6042/854

1. What is the HCF of 743,6042?

The HCF of 743,6042 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 743/204, 6042/854?

Answer: GCF of Numerators as per given numbers 743/204, 6042/854 is

GCF of Numerators i.e. for 743,6042 is 1

LCM of denominators i.e. for 204,854 is 87108.

Thus, GCF of Fractions is 1/87108.Finally, GCF of Fractions for 743/204, 6042/854 is 1/87108.