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GCF of 973/29, 301/721

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 973/29, 301/721 i.e 7/20909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/29, 301/721.

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 973/29,301/721?

Given fractions are 973/29,301/721

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 973/29,301/721, numerators are 973,301

Denominators are 29,721

The GCF of 973,301 is 7 .

LCM of 29,721 is 20909.

The greatest common factor of 973/29,301/721 = [GCF of 973,301]/[LCM of 29,721]= 7/20909

Therefore, the GCF of 973/29,301/721 is 7/20909.

Greatest Common Factor of 973,301

To find the highest common factor of 973,301, we have to find the factors of both numbers and list the highest common factor.

The factors of 973 are 1, 7, 139, 973

The factors of 301 are 1, 7, 43, 301

The HCF of 973,301 is 7.

Lets's calculate GCF of 973,301

Greatest Common Factor (GCF) of 973,301 By Common Division

7 973, 301
139, 43

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 973,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,301 By Matching Biggest Common Factor Method

Now, list down the factors of 973

:

1,7,139,973

Now, list down the factors of 301

:

1,7,43,301

Greatest Common Factor

We found the factors 973,301 . The biggest common factor number is the GCF number.
So the greatest common factor 973,301 is 7.

Lets's calculate LCM of 29,721

Lowest Common Multiple of 29,721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/20909

Therefore, the GCF of Fractions 973/29,301/721 is 7/20909

Least Common Multiple of 29,721 with GCF Formula

Least Common Multiple of 29,721 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 29,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,721) = 1

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

GCF(29,721) x common factors =1 x 1 = 1

LCM(29,721) = ( 29 × 721 ) / 1

LCM(29,721) = 20909 / 1

LCM(29,721) = 20909


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FAQs on GCF of Fractions of 973/29, 301/721

1. What is the HCF of 973,301?

The HCF of 973,301 is 7

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 973/29, 301/721?

Answer: GCF of Numerators as per given numbers 973/29, 301/721 is

GCF of Numerators i.e. for 973,301 is 7

LCM of denominators i.e. for 29,721 is 20909.

Thus, GCF of Fractions is 7/20909.Finally, GCF of Fractions for 973/29, 301/721 is 7/20909.