How to Find GCF of 501/124, 6517/753?

GCF of 501/124, 6517/753

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 501/124, 6517/753 i.e 1/93372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/124, 6517/753.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 501/124,6517/753?

Given fractions are 501/124,6517/753

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 501/124,6517/753, numerators are 501,6517

Denominators are 124,753

The GCF of 501,6517 is 1 .

LCM of 124,753 is 93372.

The greatest common factor of 501/124,6517/753 = [GCF of 501,6517]/[LCM of 124,753]= 1/93372

Therefore, the GCF of 501/124,6517/753 is 1/93372.

Greatest Common Factor of 501,6517

To find the highest common factor of 501,6517, 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 6517 are 1, 7, 19, 49, 133, 343, 931, 6517

The HCF of 501,6517 is 1.

Lets's calculate GCF of 501,6517

Greatest Common Factor (GCF) of 501,6517 By Common Division

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

Greatest Common Factor of 501,6517 By Matching Biggest Common Factor Method

Now, list down the factors of 501

1,3,167,501

Now, list down the factors of 6517

1,7,19,49,133,343,931,6517

Greatest Common Factor

We found the factors 501,6517 . The biggest common factor number is the GCF number.
So the greatest common factor 501,6517 is 1.

Lets's calculate LCM of 124,753

Lowest Common Multiple of 124,753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 93372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93372

Therefore, the GCF of Fractions 501/124,6517/753 is 1/93372

Least Common Multiple of 124,753 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 124,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,753) = 1

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

GCF(124,753) x common factors =1 x 1 = 1

LCM(124,753) = ( 124 × 753 ) / 1

LCM(124,753) = 93372 / 1

LCM(124,753) = 93372

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FAQs on GCF of Fractions of 501/124, 6517/753

1. What is the HCF of 501,6517?

The HCF of 501,6517 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 501/124, 6517/753?

Answer: GCF of Numerators as per given numbers 501/124, 6517/753 is

GCF of Numerators i.e. for 501,6517 is 1

LCM of denominators i.e. for 124,753 is 93372.

Thus, GCF of Fractions is 1/93372.Finally, GCF of Fractions for 501/124, 6517/753 is 1/93372.