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GCF of 273/30, 403/970

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 273/30, 403/970 i.e 13/2910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/30, 403/970.

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 273/30,403/970?

Given fractions are 273/30,403/970

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 273/30,403/970, numerators are 273,403

Denominators are 30,970

The GCF of 273,403 is 13 .

LCM of 30,970 is 2910.

The greatest common factor of 273/30,403/970 = [GCF of 273,403]/[LCM of 30,970]= 13/2910

Therefore, the GCF of 273/30,403/970 is 13/2910.

Greatest Common Factor of 273,403

To find the highest common factor of 273,403, 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 403 are 1, 13, 31, 403

The HCF of 273,403 is 13.

Lets's calculate GCF of 273,403

Greatest Common Factor (GCF) of 273,403 By Common Division

13 273, 403
21, 31

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 273,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,403 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 403

:

1,13,31,403

Greatest Common Factor

We found the factors 273,403 . The biggest common factor number is the GCF number.
So the greatest common factor 273,403 is 13.

Lets's calculate LCM of 30,970

Lowest Common Multiple of 30,970 using Common Division

2 30, 970
5 15, 485
3, 97

∴ So the LCM of the given numbers is 2 x 5 x 3 x 97 = 2910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2910

Therefore, the GCF of Fractions 273/30,403/970 is 13/2910

Least Common Multiple of 30,970 with GCF Formula

Least Common Multiple of 30,970 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 30,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,970) = 10

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

GCF(30,970) x common factors =10 x 1 = 10

LCM(30,970) = ( 30 × 970 ) / 10

LCM(30,970) = 29100 / 10

LCM(30,970) = 2910


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FAQs on GCF of Fractions of 273/30, 403/970

1. What is the HCF of 273,403?

The HCF of 273,403 is 13

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 273/30, 403/970?

Answer: GCF of Numerators as per given numbers 273/30, 403/970 is

GCF of Numerators i.e. for 273,403 is 13

LCM of denominators i.e. for 30,970 is 2910.

Thus, GCF of Fractions is 13/2910.Finally, GCF of Fractions for 273/30, 403/970 is 13/2910.