How to Find GCF of 848/267, 4024/524?

GCF of 848/267, 4024/524

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 848/267, 4024/524 i.e 8/139908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/267, 4024/524.

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 848/267,4024/524?

Given fractions are 848/267,4024/524

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 848/267,4024/524, numerators are 848,4024

Denominators are 267,524

The GCF of 848,4024 is 8 .

LCM of 267,524 is 139908.

The greatest common factor of 848/267,4024/524 = [GCF of 848,4024]/[LCM of 267,524]= 8/139908

Therefore, the GCF of 848/267,4024/524 is 8/139908.

Greatest Common Factor of 848,4024

To find the highest common factor of 848,4024, we have to find the factors of both numbers and list the highest common factor.

The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

The factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024

The HCF of 848,4024 is 8.

Lets's calculate GCF of 848,4024

Greatest Common Factor (GCF) of 848,4024 By Common Division

2	848, 4024
2	424, 2012
2	212, 1006
	106, 503

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 848,4024 By Matching Biggest Common Factor Method

Now, list down the factors of 848

1,2,4,8,16,53,106,212,424,848

Now, list down the factors of 4024

1,2,4,8,503,1006,2012,4024

Greatest Common Factor

We found the factors 848,4024 . The biggest common factor number is the GCF number.
So the greatest common factor 848,4024 is 8.

Lets's calculate LCM of 267,524

Lowest Common Multiple of 267,524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 139908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/139908

Therefore, the GCF of Fractions 848/267,4024/524 is 8/139908

Least Common Multiple of 267,524 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 267,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,524) = 1

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

GCF(267,524) x common factors =1 x 1 = 1

LCM(267,524) = ( 267 × 524 ) / 1

LCM(267,524) = 139908 / 1

LCM(267,524) = 139908

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FAQs on GCF of Fractions of 848/267, 4024/524

1. What is the HCF of 848,4024?

The HCF of 848,4024 is 8

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 848/267, 4024/524?

Answer: GCF of Numerators as per given numbers 848/267, 4024/524 is

GCF of Numerators i.e. for 848,4024 is 8

LCM of denominators i.e. for 267,524 is 139908.

Thus, GCF of Fractions is 8/139908.Finally, GCF of Fractions for 848/267, 4024/524 is 8/139908.