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GCF of 502/404, 2573/134

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 502/404, 2573/134 i.e 1/27068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/404, 2573/134.

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 502/404,2573/134?

Given fractions are 502/404,2573/134

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 502/404,2573/134, numerators are 502,2573

Denominators are 404,134

The GCF of 502,2573 is 1 .

LCM of 404,134 is 27068.

The greatest common factor of 502/404,2573/134 = [GCF of 502,2573]/[LCM of 404,134]= 1/27068

Therefore, the GCF of 502/404,2573/134 is 1/27068.

Greatest Common Factor of 502,2573

To find the highest common factor of 502,2573, we have to find the factors of both numbers and list the highest common factor.

The factors of 502 are 1, 2, 251, 502

The factors of 2573 are 1, 31, 83, 2573

The HCF of 502,2573 is 1.

Lets's calculate GCF of 502,2573

Greatest Common Factor (GCF) of 502,2573 By Common Division

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

Greatest Common Factor of 502,2573 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,2573 By Matching Biggest Common Factor Method

Now, list down the factors of 502

:

1,2,251,502

Now, list down the factors of 2573

:

1,31,83,2573

Greatest Common Factor

We found the factors 502,2573 . The biggest common factor number is the GCF number.
So the greatest common factor 502,2573 is 1.

Lets's calculate LCM of 404,134

Lowest Common Multiple of 404,134 using Common Division

2 404, 134
202, 67

∴ So the LCM of the given numbers is 2 x 202 x 67 = 27068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27068

Therefore, the GCF of Fractions 502/404,2573/134 is 1/27068

Least Common Multiple of 404,134 with GCF Formula

Least Common Multiple of 404,134 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 404,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,134) = 2

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

GCF(404,134) x common factors =2 x 1 = 2

LCM(404,134) = ( 404 × 134 ) / 2

LCM(404,134) = 54136 / 2

LCM(404,134) = 27068


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FAQs on GCF of Fractions of 502/404, 2573/134

1. What is the HCF of 502,2573?

The HCF of 502,2573 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 502/404, 2573/134?

Answer: GCF of Numerators as per given numbers 502/404, 2573/134 is

GCF of Numerators i.e. for 502,2573 is 1

LCM of denominators i.e. for 404,134 is 27068.

Thus, GCF of Fractions is 1/27068.Finally, GCF of Fractions for 502/404, 2573/134 is 1/27068.