How to Find GCF of 501/995, 9932/6766?

GCF of 501/995, 9932/6766

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 501/995, 9932/6766 i.e 1/33830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/995, 9932/6766.

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 501/995,9932/6766?

Given fractions are 501/995,9932/6766

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 501/995,9932/6766, numerators are 501,9932

Denominators are 995,6766

The GCF of 501,9932 is 1 .

LCM of 995,6766 is 33830.

The greatest common factor of 501/995,9932/6766 = [GCF of 501,9932]/[LCM of 995,6766]= 1/33830

Therefore, the GCF of 501/995,9932/6766 is 1/33830.

Greatest Common Factor of 501,9932

To find the highest common factor of 501,9932, 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 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932

The HCF of 501,9932 is 1.

Lets's calculate GCF of 501,9932

Greatest Common Factor (GCF) of 501,9932 By Common Division

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

Greatest Common Factor of 501,9932 By Matching Biggest Common Factor Method

Now, list down the factors of 501

1,3,167,501

Now, list down the factors of 9932

1,2,4,13,26,52,191,382,764,2483,4966,9932

Greatest Common Factor

We found the factors 501,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 501,9932 is 1.

Lets's calculate LCM of 995,6766

Lowest Common Multiple of 995,6766 using Common Division

199	995, 6766
	5, 34

∴ So the LCM of the given numbers is 199 x 5 x 34 = 33830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33830

Therefore, the GCF of Fractions 501/995,9932/6766 is 1/33830

Least Common Multiple of 995,6766 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 995,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,6766) = 199

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

GCF(995,6766) x common factors =199 x 1 = 199

LCM(995,6766) = ( 995 × 6766 ) / 199

LCM(995,6766) = 6732170 / 199

LCM(995,6766) = 33830

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FAQs on GCF of Fractions of 501/995, 9932/6766

1. What is the HCF of 501,9932?

The HCF of 501,9932 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 501/995, 9932/6766?

Answer: GCF of Numerators as per given numbers 501/995, 9932/6766 is

GCF of Numerators i.e. for 501,9932 is 1

LCM of denominators i.e. for 995,6766 is 33830.

Thus, GCF of Fractions is 1/33830.Finally, GCF of Fractions for 501/995, 9932/6766 is 1/33830.