How to Find GCF of 261/82, 745/20, 521/84?

GCF of 261/82, 745/20, 521/84

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 261/82, 745/20, 521/84 i.e 1/17220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 261/82, 745/20, 521/84.

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 261/82,745/20,521/84?

Given fractions are 261/82,745/20,521/84

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 261/82,745/20,521/84, numerators are 261,745,521

Denominators are 82,20,84

The GCF of 261,745,521 is 1 .

LCM of 82,20,84 is 17220.

The greatest common factor of 261/82,745/20,521/84 = [GCF of 261,745,521]/[LCM of 82,20,84]= 1/17220

Therefore, the GCF of 261/82,745/20,521/84 is 1/17220.

Greatest Common Factor of 261,745,521

To find the highest common factor of 261,745,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 261 are 1, 3, 9, 29, 87, 261

The factors of 745 are 1, 5, 149, 745

The factors of 521 are 1, 521

The HCF of 261,745,521 is 1.

Lets's calculate GCF of 261,745,521

Greatest Common Factor (GCF) of 261,745,521 By Common Division

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

Greatest Common Factor of 261,745,521 By Matching Biggest Common Factor Method

Now, list down the factors of 261

1,3,9,29,87,261

Now, list down the factors of 745

1,5,149,745

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 261,745,521 . The biggest common factor number is the GCF number.
So the greatest common factor 261,745,521 is 1.

Lets's calculate LCM of 82,20,84

Lowest Common Multiple of 82,20,84 using Common Division

2	82, 20, 84
2	41, 10, 42
	41, 5, 21

∴ So the LCM of the given numbers is 2 x 2 x 41 x 5 x 21 = 17220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17220

Therefore, the GCF of Fractions 261/82,745/20,521/84 is 1/17220

Least Common Multiple of 82,20,84 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 82,20,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,20,84) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,20,84) x common factors =2 x 4 = 8

LCM(82,20,84) = ( 82 × 20 × 84 ) / 8

LCM(82,20,84) = 137760 / 8

LCM(82,20,84) = 17220

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FAQs on GCF of Fractions of 261/82, 745/20, 521/84

1. What is the HCF of 261,745,521?

The HCF of 261,745,521 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 261/82, 745/20, 521/84?

Answer: GCF of Numerators as per given numbers 261/82, 745/20, 521/84 is

GCF of Numerators i.e. for 261,745,521 is 1

LCM of denominators i.e. for 82,20,84 is 17220.

Thus, GCF of Fractions is 1/17220.Finally, GCF of Fractions for 261/82, 745/20, 521/84 is 1/17220.