How to Find GCF of 779/72, 307/16, 723/53?

GCF of 779/72, 307/16, 723/53

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 779/72, 307/16, 723/53 i.e 1/7632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/72, 307/16, 723/53.

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 779/72,307/16,723/53?

Given fractions are 779/72,307/16,723/53

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 779/72,307/16,723/53, numerators are 779,307,723

Denominators are 72,16,53

The GCF of 779,307,723 is 1 .

LCM of 72,16,53 is 7632.

The greatest common factor of 779/72,307/16,723/53 = [GCF of 779,307,723]/[LCM of 72,16,53]= 1/7632

Therefore, the GCF of 779/72,307/16,723/53 is 1/7632.

Greatest Common Factor of 779,307,723

To find the highest common factor of 779,307,723, we have to find the factors of both numbers and list the highest common factor.

The factors of 779 are 1, 19, 41, 779

The factors of 307 are 1, 307

The factors of 723 are 1, 3, 241, 723

The HCF of 779,307,723 is 1.

Lets's calculate GCF of 779,307,723

Greatest Common Factor (GCF) of 779,307,723 By Common Division

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

Greatest Common Factor of 779,307,723 By Matching Biggest Common Factor Method

Now, list down the factors of 779

1,19,41,779

Now, list down the factors of 307

1,307

Now, list down the factors of 723

1,3,241,723

Greatest Common Factor

We found the factors 779,307,723 . The biggest common factor number is the GCF number.
So the greatest common factor 779,307,723 is 1.

Lets's calculate LCM of 72,16,53

Lowest Common Multiple of 72,16,53 using Common Division

2	72, 16, 53
2	36, 8, 53
2	18, 4, 53
	9, 2, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 2 x 53 = 7632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7632

Therefore, the GCF of Fractions 779/72,307/16,723/53 is 1/7632

Least Common Multiple of 72,16,53 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 72,16,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,16,53) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,16,53) x common factors =1 x 8 = 8

LCM(72,16,53) = ( 72 × 16 × 53 ) / 8

LCM(72,16,53) = 61056 / 8

LCM(72,16,53) = 7632

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 779/72, 307/16, 723/53

1. What is the HCF of 779,307,723?

The HCF of 779,307,723 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 779/72, 307/16, 723/53?

Answer: GCF of Numerators as per given numbers 779/72, 307/16, 723/53 is

GCF of Numerators i.e. for 779,307,723 is 1

LCM of denominators i.e. for 72,16,53 is 7632.

Thus, GCF of Fractions is 1/7632.Finally, GCF of Fractions for 779/72, 307/16, 723/53 is 1/7632.