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GCF of 597/66, 835/521

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 597/66, 835/521 i.e 1/34386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/66, 835/521.

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 597/66,835/521?

Given fractions are 597/66,835/521

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 597/66,835/521, numerators are 597,835

Denominators are 66,521

The GCF of 597,835 is 1 .

LCM of 66,521 is 34386.

The greatest common factor of 597/66,835/521 = [GCF of 597,835]/[LCM of 66,521]= 1/34386

Therefore, the GCF of 597/66,835/521 is 1/34386.

Greatest Common Factor of 597,835

To find the highest common factor of 597,835, we have to find the factors of both numbers and list the highest common factor.

The factors of 597 are 1, 3, 199, 597

The factors of 835 are 1, 5, 167, 835

The HCF of 597,835 is 1.

Lets's calculate GCF of 597,835

Greatest Common Factor (GCF) of 597,835 By Common Division

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

Greatest Common Factor of 597,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,835 By Matching Biggest Common Factor Method

Now, list down the factors of 597

:

1,3,199,597

Now, list down the factors of 835

:

1,5,167,835

Greatest Common Factor

We found the factors 597,835 . The biggest common factor number is the GCF number.
So the greatest common factor 597,835 is 1.

Lets's calculate LCM of 66,521

Lowest Common Multiple of 66,521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34386

Therefore, the GCF of Fractions 597/66,835/521 is 1/34386

Least Common Multiple of 66,521 with GCF Formula

Least Common Multiple of 66,521 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 66,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,521) = 1

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

GCF(66,521) x common factors =1 x 1 = 1

LCM(66,521) = ( 66 × 521 ) / 1

LCM(66,521) = 34386 / 1

LCM(66,521) = 34386


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FAQs on GCF of Fractions of 597/66, 835/521

1. What is the HCF of 597,835?

The HCF of 597,835 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 597/66, 835/521?

Answer: GCF of Numerators as per given numbers 597/66, 835/521 is

GCF of Numerators i.e. for 597,835 is 1

LCM of denominators i.e. for 66,521 is 34386.

Thus, GCF of Fractions is 1/34386.Finally, GCF of Fractions for 597/66, 835/521 is 1/34386.