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GCF of 4593/343, 4523/254

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 4593/343, 4523/254 i.e 1/87122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4593/343, 4523/254.

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 4593/343,4523/254?

Given fractions are 4593/343,4523/254

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 4593/343,4523/254, numerators are 4593,4523

Denominators are 343,254

The GCF of 4593,4523 is 1 .

LCM of 343,254 is 87122.

The greatest common factor of 4593/343,4523/254 = [GCF of 4593,4523]/[LCM of 343,254]= 1/87122

Therefore, the GCF of 4593/343,4523/254 is 1/87122.

Greatest Common Factor of 4593,4523

To find the highest common factor of 4593,4523, we have to find the factors of both numbers and list the highest common factor.

The factors of 4593 are 1, 3, 1531, 4593

The factors of 4523 are 1, 4523

The HCF of 4593,4523 is 1.

Lets's calculate GCF of 4593,4523

Greatest Common Factor (GCF) of 4593,4523 By Common Division

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

Greatest Common Factor of 4593,4523 By Matching Biggest Common Factor Method

Greatest Common Factor of 4593,4523 By Matching Biggest Common Factor Method

Now, list down the factors of 4593

:

1,3,1531,4593

Now, list down the factors of 4523

:

1,4523

Greatest Common Factor

We found the factors 4593,4523 . The biggest common factor number is the GCF number.
So the greatest common factor 4593,4523 is 1.

Lets's calculate LCM of 343,254

Lowest Common Multiple of 343,254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 87122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87122

Therefore, the GCF of Fractions 4593/343,4523/254 is 1/87122

Least Common Multiple of 343,254 with GCF Formula

Least Common Multiple of 343,254 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 343,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,254) = 1

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

GCF(343,254) x common factors =1 x 1 = 1

LCM(343,254) = ( 343 × 254 ) / 1

LCM(343,254) = 87122 / 1

LCM(343,254) = 87122


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FAQs on GCF of Fractions of 4593/343, 4523/254

1. What is the HCF of 4593,4523?

The HCF of 4593,4523 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 4593/343, 4523/254?

Answer: GCF of Numerators as per given numbers 4593/343, 4523/254 is

GCF of Numerators i.e. for 4593,4523 is 1

LCM of denominators i.e. for 343,254 is 87122.

Thus, GCF of Fractions is 1/87122.Finally, GCF of Fractions for 4593/343, 4523/254 is 1/87122.