How to Find GCF of 72/28, 41/24, 379/827?

GCF of 72/28, 41/24, 379/827

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 72/28, 41/24, 379/827 i.e 1/138936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/28, 41/24, 379/827.

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 72/28,41/24,379/827?

Given fractions are 72/28,41/24,379/827

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 72/28,41/24,379/827, numerators are 72,41,379

Denominators are 28,24,827

The GCF of 72,41,379 is 1 .

LCM of 28,24,827 is 138936.

The greatest common factor of 72/28,41/24,379/827 = [GCF of 72,41,379]/[LCM of 28,24,827]= 1/138936

Therefore, the GCF of 72/28,41/24,379/827 is 1/138936.

Greatest Common Factor of 72,41,379

To find the highest common factor of 72,41,379, we have to find the factors of both numbers and list the highest common factor.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 41 are 1, 41

The factors of 379 are 1, 379

The HCF of 72,41,379 is 1.

Lets's calculate GCF of 72,41,379

Greatest Common Factor (GCF) of 72,41,379 By Common Division

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

Greatest Common Factor of 72,41,379 By Matching Biggest Common Factor Method

Now, list down the factors of 72

1,2,3,4,6,8,9,12,18,24,36,72

Now, list down the factors of 41

1,41

Now, list down the factors of 379

1,379

Greatest Common Factor

We found the factors 72,41,379 . The biggest common factor number is the GCF number.
So the greatest common factor 72,41,379 is 1.

Lets's calculate LCM of 28,24,827

Lowest Common Multiple of 28,24,827 using Common Division

2	28, 24, 827
2	14, 12, 827
	7, 6, 827

∴ So the LCM of the given numbers is 2 x 2 x 7 x 6 x 827 = 138936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138936

Therefore, the GCF of Fractions 72/28,41/24,379/827 is 1/138936

Least Common Multiple of 28,24,827 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 28,24,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,24,827) = 1

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

GCF(28,24,827) x common factors =1 x 4 = 4

LCM(28,24,827) = ( 28 × 24 × 827 ) / 4

LCM(28,24,827) = 555744 / 4

LCM(28,24,827) = 138936

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 72/28, 41/24, 379/827

1. What is the HCF of 72,41,379?

The HCF of 72,41,379 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 72/28, 41/24, 379/827?

Answer: GCF of Numerators as per given numbers 72/28, 41/24, 379/827 is

GCF of Numerators i.e. for 72,41,379 is 1

LCM of denominators i.e. for 28,24,827 is 138936.

Thus, GCF of Fractions is 1/138936.Finally, GCF of Fractions for 72/28, 41/24, 379/827 is 1/138936.