How to Find GCF of 9013/769, 7242/769?

GCF of 9013/769, 7242/769

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 9013/769, 7242/769 i.e 1/769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9013/769, 7242/769.

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 9013/769,7242/769?

Given fractions are 9013/769,7242/769

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 9013/769,7242/769, numerators are 9013,7242

Denominators are 769,769

The GCF of 9013,7242 is 1 .

LCM of 769,769 is 769.

The greatest common factor of 9013/769,7242/769 = [GCF of 9013,7242]/[LCM of 769,769]= 1/769

Therefore, the GCF of 9013/769,7242/769 is 1/769.

Greatest Common Factor of 9013,7242

To find the highest common factor of 9013,7242, we have to find the factors of both numbers and list the highest common factor.

The factors of 9013 are 1, 9013

The factors of 7242 are 1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242

The HCF of 9013,7242 is 1.

Lets's calculate GCF of 9013,7242

Greatest Common Factor (GCF) of 9013,7242 By Common Division

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

Greatest Common Factor of 9013,7242 By Matching Biggest Common Factor Method

Now, list down the factors of 9013

1,9013

Now, list down the factors of 7242

1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242

Greatest Common Factor

We found the factors 9013,7242 . The biggest common factor number is the GCF number.
So the greatest common factor 9013,7242 is 1.

Lets's calculate LCM of 769,769

Lowest Common Multiple of 769,769 using Common Division

769	769, 769
	1, 1

∴ So the LCM of the given numbers is 769 x 1 x 1 = 769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/769

Therefore, the GCF of Fractions 9013/769,7242/769 is 1/769

Least Common Multiple of 769,769 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 769,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,769) = 769

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

GCF(769,769) x common factors =769 x 1 = 769

LCM(769,769) = ( 769 × 769 ) / 769

LCM(769,769) = 591361 / 769

LCM(769,769) = 769

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FAQs on GCF of Fractions of 9013/769, 7242/769

1. What is the HCF of 9013,7242?

The HCF of 9013,7242 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 9013/769, 7242/769?

Answer: GCF of Numerators as per given numbers 9013/769, 7242/769 is

GCF of Numerators i.e. for 9013,7242 is 1

LCM of denominators i.e. for 769,769 is 769.

Thus, GCF of Fractions is 1/769.Finally, GCF of Fractions for 9013/769, 7242/769 is 1/769.