How to Find GCF of 6516/178, 4429/6543?

GCF of 6516/178, 4429/6543

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 6516/178, 4429/6543 i.e 1/1164654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6516/178, 4429/6543.

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 6516/178,4429/6543?

Given fractions are 6516/178,4429/6543

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 6516/178,4429/6543, numerators are 6516,4429

Denominators are 178,6543

The GCF of 6516,4429 is 1 .

LCM of 178,6543 is 1164654.

The greatest common factor of 6516/178,4429/6543 = [GCF of 6516,4429]/[LCM of 178,6543]= 1/1164654

Therefore, the GCF of 6516/178,4429/6543 is 1/1164654.

Greatest Common Factor of 6516,4429

To find the highest common factor of 6516,4429, we have to find the factors of both numbers and list the highest common factor.

The factors of 6516 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516

The factors of 4429 are 1, 43, 103, 4429

The HCF of 6516,4429 is 1.

Lets's calculate GCF of 6516,4429

Greatest Common Factor (GCF) of 6516,4429 By Common Division

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

Greatest Common Factor of 6516,4429 By Matching Biggest Common Factor Method

Now, list down the factors of 6516

1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516

Now, list down the factors of 4429

1,43,103,4429

Greatest Common Factor

We found the factors 6516,4429 . The biggest common factor number is the GCF number.
So the greatest common factor 6516,4429 is 1.

Lets's calculate LCM of 178,6543

Lowest Common Multiple of 178,6543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1164654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1164654

Therefore, the GCF of Fractions 6516/178,4429/6543 is 1/1164654

Least Common Multiple of 178,6543 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 178,6543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,6543) = 1

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

GCF(178,6543) x common factors =1 x 1 = 1

LCM(178,6543) = ( 178 × 6543 ) / 1

LCM(178,6543) = 1164654 / 1

LCM(178,6543) = 1164654

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FAQs on GCF of Fractions of 6516/178, 4429/6543

1. What is the HCF of 6516,4429?

The HCF of 6516,4429 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 6516/178, 4429/6543?

Answer: GCF of Numerators as per given numbers 6516/178, 4429/6543 is

GCF of Numerators i.e. for 6516,4429 is 1

LCM of denominators i.e. for 178,6543 is 1164654.

Thus, GCF of Fractions is 1/1164654.Finally, GCF of Fractions for 6516/178, 4429/6543 is 1/1164654.