How to Find GCF of 9032/158, 1741/932?

GCF of 9032/158, 1741/932

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 9032/158, 1741/932 i.e 1/73628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9032/158, 1741/932.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9032/158,1741/932?

Given fractions are 9032/158,1741/932

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 9032/158,1741/932, numerators are 9032,1741

Denominators are 158,932

The GCF of 9032,1741 is 1 .

LCM of 158,932 is 73628.

The greatest common factor of 9032/158,1741/932 = [GCF of 9032,1741]/[LCM of 158,932]= 1/73628

Therefore, the GCF of 9032/158,1741/932 is 1/73628.

Greatest Common Factor of 9032,1741

To find the highest common factor of 9032,1741, we have to find the factors of both numbers and list the highest common factor.

The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032

The factors of 1741 are 1, 1741

The HCF of 9032,1741 is 1.

Lets's calculate GCF of 9032,1741

Greatest Common Factor (GCF) of 9032,1741 By Common Division

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

Greatest Common Factor of 9032,1741 By Matching Biggest Common Factor Method

Now, list down the factors of 9032

1,2,4,8,1129,2258,4516,9032

Now, list down the factors of 1741

1,1741

Greatest Common Factor

We found the factors 9032,1741 . The biggest common factor number is the GCF number.
So the greatest common factor 9032,1741 is 1.

Lets's calculate LCM of 158,932

Lowest Common Multiple of 158,932 using Common Division

2	158, 932
	79, 466

∴ So the LCM of the given numbers is 2 x 79 x 466 = 73628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73628

Therefore, the GCF of Fractions 9032/158,1741/932 is 1/73628

Least Common Multiple of 158,932 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 158,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,932) = 2

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

GCF(158,932) x common factors =2 x 1 = 2

LCM(158,932) = ( 158 × 932 ) / 2

LCM(158,932) = 147256 / 2

LCM(158,932) = 73628

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FAQs on GCF of Fractions of 9032/158, 1741/932

1. What is the HCF of 9032,1741?

The HCF of 9032,1741 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 9032/158, 1741/932?

Answer: GCF of Numerators as per given numbers 9032/158, 1741/932 is

GCF of Numerators i.e. for 9032,1741 is 1

LCM of denominators i.e. for 158,932 is 73628.

Thus, GCF of Fractions is 1/73628.Finally, GCF of Fractions for 9032/158, 1741/932 is 1/73628.