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GCF of 1543/280, 4439/2317

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 1543/280, 4439/2317 i.e 1/92680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1543/280, 4439/2317.

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 1543/280,4439/2317?

Given fractions are 1543/280,4439/2317

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 1543/280,4439/2317, numerators are 1543,4439

Denominators are 280,2317

The GCF of 1543,4439 is 1 .

LCM of 280,2317 is 92680.

The greatest common factor of 1543/280,4439/2317 = [GCF of 1543,4439]/[LCM of 280,2317]= 1/92680

Therefore, the GCF of 1543/280,4439/2317 is 1/92680.

Greatest Common Factor of 1543,4439

To find the highest common factor of 1543,4439, we have to find the factors of both numbers and list the highest common factor.

The factors of 1543 are 1, 1543

The factors of 4439 are 1, 23, 193, 4439

The HCF of 1543,4439 is 1.

Lets's calculate GCF of 1543,4439

Greatest Common Factor (GCF) of 1543,4439 By Common Division

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

Greatest Common Factor of 1543,4439 By Matching Biggest Common Factor Method

Greatest Common Factor of 1543,4439 By Matching Biggest Common Factor Method

Now, list down the factors of 1543

:

1,1543

Now, list down the factors of 4439

:

1,23,193,4439

Greatest Common Factor

We found the factors 1543,4439 . The biggest common factor number is the GCF number.
So the greatest common factor 1543,4439 is 1.

Lets's calculate LCM of 280,2317

Lowest Common Multiple of 280,2317 using Common Division

7 280, 2317
40, 331

∴ So the LCM of the given numbers is 7 x 40 x 331 = 92680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92680

Therefore, the GCF of Fractions 1543/280,4439/2317 is 1/92680

Least Common Multiple of 280,2317 with GCF Formula

Least Common Multiple of 280,2317 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 280,2317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,2317) = 7

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

GCF(280,2317) x common factors =7 x 1 = 7

LCM(280,2317) = ( 280 × 2317 ) / 7

LCM(280,2317) = 648760 / 7

LCM(280,2317) = 92680


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FAQs on GCF of Fractions of 1543/280, 4439/2317

1. What is the HCF of 1543,4439?

The HCF of 1543,4439 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 1543/280, 4439/2317?

Answer: GCF of Numerators as per given numbers 1543/280, 4439/2317 is

GCF of Numerators i.e. for 1543,4439 is 1

LCM of denominators i.e. for 280,2317 is 92680.

Thus, GCF of Fractions is 1/92680.Finally, GCF of Fractions for 1543/280, 4439/2317 is 1/92680.