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GCF of 115/62, 503/724

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 115/62, 503/724 i.e 1/22444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 115/62, 503/724.

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 115/62,503/724?

Given fractions are 115/62,503/724

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 115/62,503/724, numerators are 115,503

Denominators are 62,724

The GCF of 115,503 is 1 .

LCM of 62,724 is 22444.

The greatest common factor of 115/62,503/724 = [GCF of 115,503]/[LCM of 62,724]= 1/22444

Therefore, the GCF of 115/62,503/724 is 1/22444.

Greatest Common Factor of 115,503

To find the highest common factor of 115,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 115 are 1, 5, 23, 115

The factors of 503 are 1, 503

The HCF of 115,503 is 1.

Lets's calculate GCF of 115,503

Greatest Common Factor (GCF) of 115,503 By Common Division

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

Greatest Common Factor of 115,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,503 By Matching Biggest Common Factor Method

Now, list down the factors of 115

:

1,5,23,115

Now, list down the factors of 503

:

1,503

Greatest Common Factor

We found the factors 115,503 . The biggest common factor number is the GCF number.
So the greatest common factor 115,503 is 1.

Lets's calculate LCM of 62,724

Lowest Common Multiple of 62,724 using Common Division

2 62, 724
31, 362

∴ So the LCM of the given numbers is 2 x 31 x 362 = 22444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22444

Therefore, the GCF of Fractions 115/62,503/724 is 1/22444

Least Common Multiple of 62,724 with GCF Formula

Least Common Multiple of 62,724 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 62,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,724) = 2

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

GCF(62,724) x common factors =2 x 1 = 2

LCM(62,724) = ( 62 × 724 ) / 2

LCM(62,724) = 44888 / 2

LCM(62,724) = 22444


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FAQs on GCF of Fractions of 115/62, 503/724

1. What is the HCF of 115,503?

The HCF of 115,503 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 115/62, 503/724?

Answer: GCF of Numerators as per given numbers 115/62, 503/724 is

GCF of Numerators i.e. for 115,503 is 1

LCM of denominators i.e. for 62,724 is 22444.

Thus, GCF of Fractions is 1/22444.Finally, GCF of Fractions for 115/62, 503/724 is 1/22444.