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GCF of 501/698, 923/510

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 501/698, 923/510 i.e 1/177990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/698, 923/510.

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 501/698,923/510?

Given fractions are 501/698,923/510

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 501/698,923/510, numerators are 501,923

Denominators are 698,510

The GCF of 501,923 is 1 .

LCM of 698,510 is 177990.

The greatest common factor of 501/698,923/510 = [GCF of 501,923]/[LCM of 698,510]= 1/177990

Therefore, the GCF of 501/698,923/510 is 1/177990.

Greatest Common Factor of 501,923

To find the highest common factor of 501,923, we have to find the factors of both numbers and list the highest common factor.

The factors of 501 are 1, 3, 167, 501

The factors of 923 are 1, 13, 71, 923

The HCF of 501,923 is 1.

Lets's calculate GCF of 501,923

Greatest Common Factor (GCF) of 501,923 By Common Division

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

Greatest Common Factor of 501,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,923 By Matching Biggest Common Factor Method

Now, list down the factors of 501

:

1,3,167,501

Now, list down the factors of 923

:

1,13,71,923

Greatest Common Factor

We found the factors 501,923 . The biggest common factor number is the GCF number.
So the greatest common factor 501,923 is 1.

Lets's calculate LCM of 698,510

Lowest Common Multiple of 698,510 using Common Division

2 698, 510
349, 255

∴ So the LCM of the given numbers is 2 x 349 x 255 = 177990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177990

Therefore, the GCF of Fractions 501/698,923/510 is 1/177990

Least Common Multiple of 698,510 with GCF Formula

Least Common Multiple of 698,510 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 698,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,510) = 2

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

GCF(698,510) x common factors =2 x 1 = 2

LCM(698,510) = ( 698 × 510 ) / 2

LCM(698,510) = 355980 / 2

LCM(698,510) = 177990


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FAQs on GCF of Fractions of 501/698, 923/510

1. What is the HCF of 501,923?

The HCF of 501,923 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 501/698, 923/510?

Answer: GCF of Numerators as per given numbers 501/698, 923/510 is

GCF of Numerators i.e. for 501,923 is 1

LCM of denominators i.e. for 698,510 is 177990.

Thus, GCF of Fractions is 1/177990.Finally, GCF of Fractions for 501/698, 923/510 is 1/177990.