How to Find GCF of 4072/566, 7579/1026?

GCF of 4072/566, 7579/1026

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 4072/566, 7579/1026 i.e 1/290358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4072/566, 7579/1026.

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 4072/566,7579/1026?

Given fractions are 4072/566,7579/1026

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 4072/566,7579/1026, numerators are 4072,7579

Denominators are 566,1026

The GCF of 4072,7579 is 1 .

LCM of 566,1026 is 290358.

The greatest common factor of 4072/566,7579/1026 = [GCF of 4072,7579]/[LCM of 566,1026]= 1/290358

Therefore, the GCF of 4072/566,7579/1026 is 1/290358.

Greatest Common Factor of 4072,7579

To find the highest common factor of 4072,7579, we have to find the factors of both numbers and list the highest common factor.

The factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072

The factors of 7579 are 1, 11, 13, 53, 143, 583, 689, 7579

The HCF of 4072,7579 is 1.

Lets's calculate GCF of 4072,7579

Greatest Common Factor (GCF) of 4072,7579 By Common Division

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

Greatest Common Factor of 4072,7579 By Matching Biggest Common Factor Method

Now, list down the factors of 4072

1,2,4,8,509,1018,2036,4072

Now, list down the factors of 7579

1,11,13,53,143,583,689,7579

Greatest Common Factor

We found the factors 4072,7579 . The biggest common factor number is the GCF number.
So the greatest common factor 4072,7579 is 1.

Lets's calculate LCM of 566,1026

Lowest Common Multiple of 566,1026 using Common Division

2	566, 1026
	283, 513

∴ So the LCM of the given numbers is 2 x 283 x 513 = 290358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290358

Therefore, the GCF of Fractions 4072/566,7579/1026 is 1/290358

Least Common Multiple of 566,1026 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 566,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,1026) = 2

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

GCF(566,1026) x common factors =2 x 1 = 2

LCM(566,1026) = ( 566 × 1026 ) / 2

LCM(566,1026) = 580716 / 2

LCM(566,1026) = 290358

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4072/566, 7579/1026

1. What is the HCF of 4072,7579?

The HCF of 4072,7579 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 4072/566, 7579/1026?

Answer: GCF of Numerators as per given numbers 4072/566, 7579/1026 is

GCF of Numerators i.e. for 4072,7579 is 1

LCM of denominators i.e. for 566,1026 is 290358.

Thus, GCF of Fractions is 1/290358.Finally, GCF of Fractions for 4072/566, 7579/1026 is 1/290358.