How to Find GCF of 6168/567, 9269/1357?

GCF of 6168/567, 9269/1357

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 6168/567, 9269/1357 i.e 1/769419 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6168/567, 9269/1357.

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 6168/567,9269/1357?

Given fractions are 6168/567,9269/1357

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 6168/567,9269/1357, numerators are 6168,9269

Denominators are 567,1357

The GCF of 6168,9269 is 1 .

LCM of 567,1357 is 769419.

The greatest common factor of 6168/567,9269/1357 = [GCF of 6168,9269]/[LCM of 567,1357]= 1/769419

Therefore, the GCF of 6168/567,9269/1357 is 1/769419.

Greatest Common Factor of 6168,9269

To find the highest common factor of 6168,9269, we have to find the factors of both numbers and list the highest common factor.

The factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168

The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269

The HCF of 6168,9269 is 1.

Lets's calculate GCF of 6168,9269

Greatest Common Factor (GCF) of 6168,9269 By Common Division

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

Greatest Common Factor of 6168,9269 By Matching Biggest Common Factor Method

Now, list down the factors of 6168

1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168

Now, list down the factors of 9269

1,13,23,31,299,403,713,9269

Greatest Common Factor

We found the factors 6168,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 6168,9269 is 1.

Lets's calculate LCM of 567,1357

Lowest Common Multiple of 567,1357 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 769419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/769419

Therefore, the GCF of Fractions 6168/567,9269/1357 is 1/769419

Least Common Multiple of 567,1357 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 567,1357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,1357) = 1

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

GCF(567,1357) x common factors =1 x 1 = 1

LCM(567,1357) = ( 567 × 1357 ) / 1

LCM(567,1357) = 769419 / 1

LCM(567,1357) = 769419

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6168/567, 9269/1357

1. What is the HCF of 6168,9269?

The HCF of 6168,9269 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 6168/567, 9269/1357?

Answer: GCF of Numerators as per given numbers 6168/567, 9269/1357 is

GCF of Numerators i.e. for 6168,9269 is 1

LCM of denominators i.e. for 567,1357 is 769419.

Thus, GCF of Fractions is 1/769419.Finally, GCF of Fractions for 6168/567, 9269/1357 is 1/769419.