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GCF of 731/31, 166/973

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 731/31, 166/973 i.e 1/30163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/31, 166/973.

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 731/31,166/973?

Given fractions are 731/31,166/973

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 731/31,166/973, numerators are 731,166

Denominators are 31,973

The GCF of 731,166 is 1 .

LCM of 31,973 is 30163.

The greatest common factor of 731/31,166/973 = [GCF of 731,166]/[LCM of 31,973]= 1/30163

Therefore, the GCF of 731/31,166/973 is 1/30163.

Greatest Common Factor of 731,166

To find the highest common factor of 731,166, we have to find the factors of both numbers and list the highest common factor.

The factors of 731 are 1, 17, 43, 731

The factors of 166 are 1, 2, 83, 166

The HCF of 731,166 is 1.

Lets's calculate GCF of 731,166

Greatest Common Factor (GCF) of 731,166 By Common Division

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

Greatest Common Factor of 731,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,166 By Matching Biggest Common Factor Method

Now, list down the factors of 731

:

1,17,43,731

Now, list down the factors of 166

:

1,2,83,166

Greatest Common Factor

We found the factors 731,166 . The biggest common factor number is the GCF number.
So the greatest common factor 731,166 is 1.

Lets's calculate LCM of 31,973

Lowest Common Multiple of 31,973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30163

Therefore, the GCF of Fractions 731/31,166/973 is 1/30163

Least Common Multiple of 31,973 with GCF Formula

Least Common Multiple of 31,973 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 31,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,973) = 1

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

GCF(31,973) x common factors =1 x 1 = 1

LCM(31,973) = ( 31 × 973 ) / 1

LCM(31,973) = 30163 / 1

LCM(31,973) = 30163


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FAQs on GCF of Fractions of 731/31, 166/973

1. What is the HCF of 731,166?

The HCF of 731,166 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 731/31, 166/973?

Answer: GCF of Numerators as per given numbers 731/31, 166/973 is

GCF of Numerators i.e. for 731,166 is 1

LCM of denominators i.e. for 31,973 is 30163.

Thus, GCF of Fractions is 1/30163.Finally, GCF of Fractions for 731/31, 166/973 is 1/30163.