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GCF of 500/22, 601/293

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 500/22, 601/293 i.e 1/6446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/22, 601/293.

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 500/22,601/293?

Given fractions are 500/22,601/293

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 500/22,601/293, numerators are 500,601

Denominators are 22,293

The GCF of 500,601 is 1 .

LCM of 22,293 is 6446.

The greatest common factor of 500/22,601/293 = [GCF of 500,601]/[LCM of 22,293]= 1/6446

Therefore, the GCF of 500/22,601/293 is 1/6446.

Greatest Common Factor of 500,601

To find the highest common factor of 500,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 601 are 1, 601

The HCF of 500,601 is 1.

Lets's calculate GCF of 500,601

Greatest Common Factor (GCF) of 500,601 By Common Division

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

Greatest Common Factor of 500,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,601 By Matching Biggest Common Factor Method

Now, list down the factors of 500

:

1,2,4,5,10,20,25,50,100,125,250,500

Now, list down the factors of 601

:

1,601

Greatest Common Factor

We found the factors 500,601 . The biggest common factor number is the GCF number.
So the greatest common factor 500,601 is 1.

Lets's calculate LCM of 22,293

Lowest Common Multiple of 22,293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6446

Therefore, the GCF of Fractions 500/22,601/293 is 1/6446

Least Common Multiple of 22,293 with GCF Formula

Least Common Multiple of 22,293 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 22,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,293) = 1

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

GCF(22,293) x common factors =1 x 1 = 1

LCM(22,293) = ( 22 × 293 ) / 1

LCM(22,293) = 6446 / 1

LCM(22,293) = 6446


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 500/22, 601/293

1. What is the HCF of 500,601?

The HCF of 500,601 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 500/22, 601/293?

Answer: GCF of Numerators as per given numbers 500/22, 601/293 is

GCF of Numerators i.e. for 500,601 is 1

LCM of denominators i.e. for 22,293 is 6446.

Thus, GCF of Fractions is 1/6446.Finally, GCF of Fractions for 500/22, 601/293 is 1/6446.