How to Find GCF of 7163/332, 8498/2588?

GCF of 7163/332, 8498/2588

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 7163/332, 8498/2588 i.e 1/214804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7163/332, 8498/2588.

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 7163/332,8498/2588?

Given fractions are 7163/332,8498/2588

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 7163/332,8498/2588, numerators are 7163,8498

Denominators are 332,2588

The GCF of 7163,8498 is 1 .

LCM of 332,2588 is 214804.

The greatest common factor of 7163/332,8498/2588 = [GCF of 7163,8498]/[LCM of 332,2588]= 1/214804

Therefore, the GCF of 7163/332,8498/2588 is 1/214804.

Greatest Common Factor of 7163,8498

To find the highest common factor of 7163,8498, we have to find the factors of both numbers and list the highest common factor.

The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163

The factors of 8498 are 1, 2, 7, 14, 607, 1214, 4249, 8498

The HCF of 7163,8498 is 1.

Lets's calculate GCF of 7163,8498

Greatest Common Factor (GCF) of 7163,8498 By Common Division

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

Greatest Common Factor of 7163,8498 By Matching Biggest Common Factor Method

Now, list down the factors of 7163

1,13,19,29,247,377,551,7163

Now, list down the factors of 8498

1,2,7,14,607,1214,4249,8498

Greatest Common Factor

We found the factors 7163,8498 . The biggest common factor number is the GCF number.
So the greatest common factor 7163,8498 is 1.

Lets's calculate LCM of 332,2588

Lowest Common Multiple of 332,2588 using Common Division

2	332, 2588
2	166, 1294
	83, 647

∴ So the LCM of the given numbers is 2 x 2 x 83 x 647 = 214804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214804

Therefore, the GCF of Fractions 7163/332,8498/2588 is 1/214804

Least Common Multiple of 332,2588 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 332,2588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,2588) = 4

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

GCF(332,2588) x common factors =4 x 1 = 4

LCM(332,2588) = ( 332 × 2588 ) / 4

LCM(332,2588) = 859216 / 4

LCM(332,2588) = 214804

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FAQs on GCF of Fractions of 7163/332, 8498/2588

1. What is the HCF of 7163,8498?

The HCF of 7163,8498 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 7163/332, 8498/2588?

Answer: GCF of Numerators as per given numbers 7163/332, 8498/2588 is

GCF of Numerators i.e. for 7163,8498 is 1

LCM of denominators i.e. for 332,2588 is 214804.

Thus, GCF of Fractions is 1/214804.Finally, GCF of Fractions for 7163/332, 8498/2588 is 1/214804.