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GCF of 593/28, 177/404

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 593/28, 177/404 i.e 1/2828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/28, 177/404.

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 593/28,177/404?

Given fractions are 593/28,177/404

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 593/28,177/404, numerators are 593,177

Denominators are 28,404

The GCF of 593,177 is 1 .

LCM of 28,404 is 2828.

The greatest common factor of 593/28,177/404 = [GCF of 593,177]/[LCM of 28,404]= 1/2828

Therefore, the GCF of 593/28,177/404 is 1/2828.

Greatest Common Factor of 593,177

To find the highest common factor of 593,177, we have to find the factors of both numbers and list the highest common factor.

The factors of 593 are 1, 593

The factors of 177 are 1, 3, 59, 177

The HCF of 593,177 is 1.

Lets's calculate GCF of 593,177

Greatest Common Factor (GCF) of 593,177 By Common Division

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

Greatest Common Factor of 593,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,177 By Matching Biggest Common Factor Method

Now, list down the factors of 593

:

1,593

Now, list down the factors of 177

:

1,3,59,177

Greatest Common Factor

We found the factors 593,177 . The biggest common factor number is the GCF number.
So the greatest common factor 593,177 is 1.

Lets's calculate LCM of 28,404

Lowest Common Multiple of 28,404 using Common Division

2 28, 404
2 14, 202
7, 101

∴ So the LCM of the given numbers is 2 x 2 x 7 x 101 = 2828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2828

Therefore, the GCF of Fractions 593/28,177/404 is 1/2828

Least Common Multiple of 28,404 with GCF Formula

Least Common Multiple of 28,404 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 28,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,404) = 4

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

GCF(28,404) x common factors =4 x 1 = 4

LCM(28,404) = ( 28 × 404 ) / 4

LCM(28,404) = 11312 / 4

LCM(28,404) = 2828


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FAQs on GCF of Fractions of 593/28, 177/404

1. What is the HCF of 593,177?

The HCF of 593,177 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 593/28, 177/404?

Answer: GCF of Numerators as per given numbers 593/28, 177/404 is

GCF of Numerators i.e. for 593,177 is 1

LCM of denominators i.e. for 28,404 is 2828.

Thus, GCF of Fractions is 1/2828.Finally, GCF of Fractions for 593/28, 177/404 is 1/2828.