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GCF of 273/849, 7523/439

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 273/849, 7523/439 i.e 1/372711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/849, 7523/439.

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 273/849,7523/439?

Given fractions are 273/849,7523/439

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 273/849,7523/439, numerators are 273,7523

Denominators are 849,439

The GCF of 273,7523 is 1 .

LCM of 849,439 is 372711.

The greatest common factor of 273/849,7523/439 = [GCF of 273,7523]/[LCM of 849,439]= 1/372711

Therefore, the GCF of 273/849,7523/439 is 1/372711.

Greatest Common Factor of 273,7523

To find the highest common factor of 273,7523, we have to find the factors of both numbers and list the highest common factor.

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The factors of 7523 are 1, 7523

The HCF of 273,7523 is 1.

Lets's calculate GCF of 273,7523

Greatest Common Factor (GCF) of 273,7523 By Common Division

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

Greatest Common Factor of 273,7523 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,7523 By Matching Biggest Common Factor Method

Now, list down the factors of 273

:

1,3,7,13,21,39,91,273

Now, list down the factors of 7523

:

1,7523

Greatest Common Factor

We found the factors 273,7523 . The biggest common factor number is the GCF number.
So the greatest common factor 273,7523 is 1.

Lets's calculate LCM of 849,439

Lowest Common Multiple of 849,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 372711

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372711

Therefore, the GCF of Fractions 273/849,7523/439 is 1/372711

Least Common Multiple of 849,439 with GCF Formula

Least Common Multiple of 849,439 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 849,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,439) = 1

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

GCF(849,439) x common factors =1 x 1 = 1

LCM(849,439) = ( 849 × 439 ) / 1

LCM(849,439) = 372711 / 1

LCM(849,439) = 372711


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FAQs on GCF of Fractions of 273/849, 7523/439

1. What is the HCF of 273,7523?

The HCF of 273,7523 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 273/849, 7523/439?

Answer: GCF of Numerators as per given numbers 273/849, 7523/439 is

GCF of Numerators i.e. for 273,7523 is 1

LCM of denominators i.e. for 849,439 is 372711.

Thus, GCF of Fractions is 1/372711.Finally, GCF of Fractions for 273/849, 7523/439 is 1/372711.