How to Find GCF of 5261/525, 1659/7932?

GCF of 5261/525, 1659/7932

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 5261/525, 1659/7932 i.e 1/1388100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5261/525, 1659/7932.

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 5261/525,1659/7932?

Given fractions are 5261/525,1659/7932

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 5261/525,1659/7932, numerators are 5261,1659

Denominators are 525,7932

The GCF of 5261,1659 is 1 .

LCM of 525,7932 is 1388100.

The greatest common factor of 5261/525,1659/7932 = [GCF of 5261,1659]/[LCM of 525,7932]= 1/1388100

Therefore, the GCF of 5261/525,1659/7932 is 1/1388100.

Greatest Common Factor of 5261,1659

To find the highest common factor of 5261,1659, we have to find the factors of both numbers and list the highest common factor.

The factors of 5261 are 1, 5261

The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659

The HCF of 5261,1659 is 1.

Lets's calculate GCF of 5261,1659

Greatest Common Factor (GCF) of 5261,1659 By Common Division

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

Greatest Common Factor of 5261,1659 By Matching Biggest Common Factor Method

Now, list down the factors of 5261

1,5261

Now, list down the factors of 1659

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 5261,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 5261,1659 is 1.

Lets's calculate LCM of 525,7932

Lowest Common Multiple of 525,7932 using Common Division

3	525, 7932
	175, 2644

∴ So the LCM of the given numbers is 3 x 175 x 2644 = 1388100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1388100

Therefore, the GCF of Fractions 5261/525,1659/7932 is 1/1388100

Least Common Multiple of 525,7932 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 525,7932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,7932) = 3

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

GCF(525,7932) x common factors =3 x 1 = 3

LCM(525,7932) = ( 525 × 7932 ) / 3

LCM(525,7932) = 4164300 / 3

LCM(525,7932) = 1388100

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FAQs on GCF of Fractions of 5261/525, 1659/7932

1. What is the HCF of 5261,1659?

The HCF of 5261,1659 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 5261/525, 1659/7932?

Answer: GCF of Numerators as per given numbers 5261/525, 1659/7932 is

GCF of Numerators i.e. for 5261,1659 is 1

LCM of denominators i.e. for 525,7932 is 1388100.

Thus, GCF of Fractions is 1/1388100.Finally, GCF of Fractions for 5261/525, 1659/7932 is 1/1388100.