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GCF of 7043/204, 2579/790

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 7043/204, 2579/790 i.e 1/80580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7043/204, 2579/790.

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 7043/204,2579/790?

Given fractions are 7043/204,2579/790

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 7043/204,2579/790, numerators are 7043,2579

Denominators are 204,790

The GCF of 7043,2579 is 1 .

LCM of 204,790 is 80580.

The greatest common factor of 7043/204,2579/790 = [GCF of 7043,2579]/[LCM of 204,790]= 1/80580

Therefore, the GCF of 7043/204,2579/790 is 1/80580.

Greatest Common Factor of 7043,2579

To find the highest common factor of 7043,2579, we have to find the factors of both numbers and list the highest common factor.

The factors of 7043 are 1, 7043

The factors of 2579 are 1, 2579

The HCF of 7043,2579 is 1.

Lets's calculate GCF of 7043,2579

Greatest Common Factor (GCF) of 7043,2579 By Common Division

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

Greatest Common Factor of 7043,2579 By Matching Biggest Common Factor Method

Greatest Common Factor of 7043,2579 By Matching Biggest Common Factor Method

Now, list down the factors of 7043

:

1,7043

Now, list down the factors of 2579

:

1,2579

Greatest Common Factor

We found the factors 7043,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 7043,2579 is 1.

Lets's calculate LCM of 204,790

Lowest Common Multiple of 204,790 using Common Division

2 204, 790
102, 395

∴ So the LCM of the given numbers is 2 x 102 x 395 = 80580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80580

Therefore, the GCF of Fractions 7043/204,2579/790 is 1/80580

Least Common Multiple of 204,790 with GCF Formula

Least Common Multiple of 204,790 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 204,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,790) = 2

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

GCF(204,790) x common factors =2 x 1 = 2

LCM(204,790) = ( 204 × 790 ) / 2

LCM(204,790) = 161160 / 2

LCM(204,790) = 80580


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FAQs on GCF of Fractions of 7043/204, 2579/790

1. What is the HCF of 7043,2579?

The HCF of 7043,2579 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 7043/204, 2579/790?

Answer: GCF of Numerators as per given numbers 7043/204, 2579/790 is

GCF of Numerators i.e. for 7043,2579 is 1

LCM of denominators i.e. for 204,790 is 80580.

Thus, GCF of Fractions is 1/80580.Finally, GCF of Fractions for 7043/204, 2579/790 is 1/80580.