How to Find GCF of 62/40, 81/26, 729/624?

GCF of 62/40, 81/26, 729/624

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 62/40, 81/26, 729/624 i.e 1/3120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/40, 81/26, 729/624.

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 62/40,81/26,729/624?

Given fractions are 62/40,81/26,729/624

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 62/40,81/26,729/624, numerators are 62,81,729

Denominators are 40,26,624

The GCF of 62,81,729 is 1 .

LCM of 40,26,624 is 3120.

The greatest common factor of 62/40,81/26,729/624 = [GCF of 62,81,729]/[LCM of 40,26,624]= 1/3120

Therefore, the GCF of 62/40,81/26,729/624 is 1/3120.

Greatest Common Factor of 62,81,729

To find the highest common factor of 62,81,729, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 81 are 1, 3, 9, 27, 81

The factors of 729 are 1, 3, 9, 27, 81, 243, 729

The HCF of 62,81,729 is 1.

Lets's calculate GCF of 62,81,729

Greatest Common Factor (GCF) of 62,81,729 By Common Division

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

Greatest Common Factor of 62,81,729 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 729

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 62,81,729 . The biggest common factor number is the GCF number.
So the greatest common factor 62,81,729 is 1.

Lets's calculate LCM of 40,26,624

Lowest Common Multiple of 40,26,624 using Common Division

2	40, 26, 624
2	20, 13, 312
2	10, 13, 156
13	5, 13, 78
	5, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 5 x 1 x 6 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120

Therefore, the GCF of Fractions 62/40,81/26,729/624 is 1/3120

Least Common Multiple of 40,26,624 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 40,26,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,26,624) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(40,26,624) x common factors =2 x 104 = 208

LCM(40,26,624) = ( 40 × 26 × 624 ) / 208

LCM(40,26,624) = 648960 / 208

LCM(40,26,624) = 3120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 62/40, 81/26, 729/624

1. What is the HCF of 62,81,729?

The HCF of 62,81,729 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 62/40, 81/26, 729/624?

Answer: GCF of Numerators as per given numbers 62/40, 81/26, 729/624 is

GCF of Numerators i.e. for 62,81,729 is 1

LCM of denominators i.e. for 40,26,624 is 3120.

Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 62/40, 81/26, 729/624 is 1/3120.