How to Find GCF of 9037/754, 3163/1788?

GCF of 9037/754, 3163/1788

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 9037/754, 3163/1788 i.e 1/674076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9037/754, 3163/1788.

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 9037/754,3163/1788?

Given fractions are 9037/754,3163/1788

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 9037/754,3163/1788, numerators are 9037,3163

Denominators are 754,1788

The GCF of 9037,3163 is 1 .

LCM of 754,1788 is 674076.

The greatest common factor of 9037/754,3163/1788 = [GCF of 9037,3163]/[LCM of 754,1788]= 1/674076

Therefore, the GCF of 9037/754,3163/1788 is 1/674076.

Greatest Common Factor of 9037,3163

To find the highest common factor of 9037,3163, we have to find the factors of both numbers and list the highest common factor.

The factors of 9037 are 1, 7, 1291, 9037

The factors of 3163 are 1, 3163

The HCF of 9037,3163 is 1.

Lets's calculate GCF of 9037,3163

Greatest Common Factor (GCF) of 9037,3163 By Common Division

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

Greatest Common Factor of 9037,3163 By Matching Biggest Common Factor Method

Now, list down the factors of 9037

1,7,1291,9037

Now, list down the factors of 3163

1,3163

Greatest Common Factor

We found the factors 9037,3163 . The biggest common factor number is the GCF number.
So the greatest common factor 9037,3163 is 1.

Lets's calculate LCM of 754,1788

Lowest Common Multiple of 754,1788 using Common Division

2	754, 1788
	377, 894

∴ So the LCM of the given numbers is 2 x 377 x 894 = 674076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674076

Therefore, the GCF of Fractions 9037/754,3163/1788 is 1/674076

Least Common Multiple of 754,1788 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 754,1788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,1788) = 2

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

GCF(754,1788) x common factors =2 x 1 = 2

LCM(754,1788) = ( 754 × 1788 ) / 2

LCM(754,1788) = 1348152 / 2

LCM(754,1788) = 674076

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FAQs on GCF of Fractions of 9037/754, 3163/1788

1. What is the HCF of 9037,3163?

The HCF of 9037,3163 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 9037/754, 3163/1788?

Answer: GCF of Numerators as per given numbers 9037/754, 3163/1788 is

GCF of Numerators i.e. for 9037,3163 is 1

LCM of denominators i.e. for 754,1788 is 674076.

Thus, GCF of Fractions is 1/674076.Finally, GCF of Fractions for 9037/754, 3163/1788 is 1/674076.