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GCF of 583/244, 454/872

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 583/244, 454/872 i.e 1/53192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/244, 454/872.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 583/244,454/872?

Given fractions are 583/244,454/872

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 583/244,454/872, numerators are 583,454

Denominators are 244,872

The GCF of 583,454 is 1 .

LCM of 244,872 is 53192.

The greatest common factor of 583/244,454/872 = [GCF of 583,454]/[LCM of 244,872]= 1/53192

Therefore, the GCF of 583/244,454/872 is 1/53192.

Greatest Common Factor of 583,454

To find the highest common factor of 583,454, we have to find the factors of both numbers and list the highest common factor.

The factors of 583 are 1, 11, 53, 583

The factors of 454 are 1, 2, 227, 454

The HCF of 583,454 is 1.

Lets's calculate GCF of 583,454

Greatest Common Factor (GCF) of 583,454 By Common Division

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

Greatest Common Factor of 583,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,454 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 454

:

1,2,227,454

Greatest Common Factor

We found the factors 583,454 . The biggest common factor number is the GCF number.
So the greatest common factor 583,454 is 1.

Lets's calculate LCM of 244,872

Lowest Common Multiple of 244,872 using Common Division

2 244, 872
2 122, 436
61, 218

∴ So the LCM of the given numbers is 2 x 2 x 61 x 218 = 53192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53192

Therefore, the GCF of Fractions 583/244,454/872 is 1/53192

Least Common Multiple of 244,872 with GCF Formula

Least Common Multiple of 244,872 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 244,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,872) = 4

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

GCF(244,872) x common factors =4 x 1 = 4

LCM(244,872) = ( 244 × 872 ) / 4

LCM(244,872) = 212768 / 4

LCM(244,872) = 53192


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FAQs on GCF of Fractions of 583/244, 454/872

1. What is the HCF of 583,454?

The HCF of 583,454 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 583/244, 454/872?

Answer: GCF of Numerators as per given numbers 583/244, 454/872 is

GCF of Numerators i.e. for 583,454 is 1

LCM of denominators i.e. for 244,872 is 53192.

Thus, GCF of Fractions is 1/53192.Finally, GCF of Fractions for 583/244, 454/872 is 1/53192.