How to Find GCF of 3239/500, 2894/9167?

GCF of 3239/500, 2894/9167

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 3239/500, 2894/9167 i.e 1/4583500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3239/500, 2894/9167.

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 3239/500,2894/9167?

Given fractions are 3239/500,2894/9167

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 3239/500,2894/9167, numerators are 3239,2894

Denominators are 500,9167

The GCF of 3239,2894 is 1 .

LCM of 500,9167 is 4583500.

The greatest common factor of 3239/500,2894/9167 = [GCF of 3239,2894]/[LCM of 500,9167]= 1/4583500

Therefore, the GCF of 3239/500,2894/9167 is 1/4583500.

Greatest Common Factor of 3239,2894

To find the highest common factor of 3239,2894, we have to find the factors of both numbers and list the highest common factor.

The factors of 3239 are 1, 41, 79, 3239

The factors of 2894 are 1, 2, 1447, 2894

The HCF of 3239,2894 is 1.

Lets's calculate GCF of 3239,2894

Greatest Common Factor (GCF) of 3239,2894 By Common Division

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

Greatest Common Factor of 3239,2894 By Matching Biggest Common Factor Method

Now, list down the factors of 3239

1,41,79,3239

Now, list down the factors of 2894

1,2,1447,2894

Greatest Common Factor

We found the factors 3239,2894 . The biggest common factor number is the GCF number.
So the greatest common factor 3239,2894 is 1.

Lets's calculate LCM of 500,9167

Lowest Common Multiple of 500,9167 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4583500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4583500

Therefore, the GCF of Fractions 3239/500,2894/9167 is 1/4583500

Least Common Multiple of 500,9167 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 500,9167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,9167) = 1

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

GCF(500,9167) x common factors =1 x 1 = 1

LCM(500,9167) = ( 500 × 9167 ) / 1

LCM(500,9167) = 4583500 / 1

LCM(500,9167) = 4583500

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FAQs on GCF of Fractions of 3239/500, 2894/9167

1. What is the HCF of 3239,2894?

The HCF of 3239,2894 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 3239/500, 2894/9167?

Answer: GCF of Numerators as per given numbers 3239/500, 2894/9167 is

GCF of Numerators i.e. for 3239,2894 is 1

LCM of denominators i.e. for 500,9167 is 4583500.

Thus, GCF of Fractions is 1/4583500.Finally, GCF of Fractions for 3239/500, 2894/9167 is 1/4583500.