How to Find GCF of 567/164, 6718/600?

GCF of 567/164, 6718/600

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 567/164, 6718/600 i.e 1/24600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/164, 6718/600.

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 567/164,6718/600?

Given fractions are 567/164,6718/600

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 567/164,6718/600, numerators are 567,6718

Denominators are 164,600

The GCF of 567,6718 is 1 .

LCM of 164,600 is 24600.

The greatest common factor of 567/164,6718/600 = [GCF of 567,6718]/[LCM of 164,600]= 1/24600

Therefore, the GCF of 567/164,6718/600 is 1/24600.

Greatest Common Factor of 567,6718

To find the highest common factor of 567,6718, we have to find the factors of both numbers and list the highest common factor.

The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

The factors of 6718 are 1, 2, 3359, 6718

The HCF of 567,6718 is 1.

Lets's calculate GCF of 567,6718

Greatest Common Factor (GCF) of 567,6718 By Common Division

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

Greatest Common Factor of 567,6718 By Matching Biggest Common Factor Method

Now, list down the factors of 567

1,3,7,9,21,27,63,81,189,567

Now, list down the factors of 6718

1,2,3359,6718

Greatest Common Factor

We found the factors 567,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 567,6718 is 1.

Lets's calculate LCM of 164,600

Lowest Common Multiple of 164,600 using Common Division

2	164, 600
2	82, 300
	41, 150

∴ So the LCM of the given numbers is 2 x 2 x 41 x 150 = 24600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24600

Therefore, the GCF of Fractions 567/164,6718/600 is 1/24600

Least Common Multiple of 164,600 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 164,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,600) = 4

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

GCF(164,600) x common factors =4 x 1 = 4

LCM(164,600) = ( 164 × 600 ) / 4

LCM(164,600) = 98400 / 4

LCM(164,600) = 24600

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FAQs on GCF of Fractions of 567/164, 6718/600

1. What is the HCF of 567,6718?

The HCF of 567,6718 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 567/164, 6718/600?

Answer: GCF of Numerators as per given numbers 567/164, 6718/600 is

GCF of Numerators i.e. for 567,6718 is 1

LCM of denominators i.e. for 164,600 is 24600.

Thus, GCF of Fractions is 1/24600.Finally, GCF of Fractions for 567/164, 6718/600 is 1/24600.