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GCF of 2918/604, 8171/6729

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 2918/604, 8171/6729 i.e 1/4064316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2918/604, 8171/6729.

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 2918/604,8171/6729?

Given fractions are 2918/604,8171/6729

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 2918/604,8171/6729, numerators are 2918,8171

Denominators are 604,6729

The GCF of 2918,8171 is 1 .

LCM of 604,6729 is 4064316.

The greatest common factor of 2918/604,8171/6729 = [GCF of 2918,8171]/[LCM of 604,6729]= 1/4064316

Therefore, the GCF of 2918/604,8171/6729 is 1/4064316.

Greatest Common Factor of 2918,8171

To find the highest common factor of 2918,8171, we have to find the factors of both numbers and list the highest common factor.

The factors of 2918 are 1, 2, 1459, 2918

The factors of 8171 are 1, 8171

The HCF of 2918,8171 is 1.

Lets's calculate GCF of 2918,8171

Greatest Common Factor (GCF) of 2918,8171 By Common Division

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

Greatest Common Factor of 2918,8171 By Matching Biggest Common Factor Method

Greatest Common Factor of 2918,8171 By Matching Biggest Common Factor Method

Now, list down the factors of 2918

:

1,2,1459,2918

Now, list down the factors of 8171

:

1,8171

Greatest Common Factor

We found the factors 2918,8171 . The biggest common factor number is the GCF number.
So the greatest common factor 2918,8171 is 1.

Lets's calculate LCM of 604,6729

Lowest Common Multiple of 604,6729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4064316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4064316

Therefore, the GCF of Fractions 2918/604,8171/6729 is 1/4064316

Least Common Multiple of 604,6729 with GCF Formula

Least Common Multiple of 604,6729 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 604,6729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,6729) = 1

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

GCF(604,6729) x common factors =1 x 1 = 1

LCM(604,6729) = ( 604 × 6729 ) / 1

LCM(604,6729) = 4064316 / 1

LCM(604,6729) = 4064316


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FAQs on GCF of Fractions of 2918/604, 8171/6729

1. What is the HCF of 2918,8171?

The HCF of 2918,8171 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 2918/604, 8171/6729?

Answer: GCF of Numerators as per given numbers 2918/604, 8171/6729 is

GCF of Numerators i.e. for 2918,8171 is 1

LCM of denominators i.e. for 604,6729 is 4064316.

Thus, GCF of Fractions is 1/4064316.Finally, GCF of Fractions for 2918/604, 8171/6729 is 1/4064316.