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GCF of 267/57, 254/169

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 267/57, 254/169 i.e 1/9633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/57, 254/169.

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 267/57,254/169?

Given fractions are 267/57,254/169

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 267/57,254/169, numerators are 267,254

Denominators are 57,169

The GCF of 267,254 is 1 .

LCM of 57,169 is 9633.

The greatest common factor of 267/57,254/169 = [GCF of 267,254]/[LCM of 57,169]= 1/9633

Therefore, the GCF of 267/57,254/169 is 1/9633.

Greatest Common Factor of 267,254

To find the highest common factor of 267,254, we have to find the factors of both numbers and list the highest common factor.

The factors of 267 are 1, 3, 89, 267

The factors of 254 are 1, 2, 127, 254

The HCF of 267,254 is 1.

Lets's calculate GCF of 267,254

Greatest Common Factor (GCF) of 267,254 By Common Division

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

Greatest Common Factor of 267,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,254 By Matching Biggest Common Factor Method

Now, list down the factors of 267

:

1,3,89,267

Now, list down the factors of 254

:

1,2,127,254

Greatest Common Factor

We found the factors 267,254 . The biggest common factor number is the GCF number.
So the greatest common factor 267,254 is 1.

Lets's calculate LCM of 57,169

Lowest Common Multiple of 57,169 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9633

Therefore, the GCF of Fractions 267/57,254/169 is 1/9633

Least Common Multiple of 57,169 with GCF Formula

Least Common Multiple of 57,169 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 57,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,169) = 1

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

GCF(57,169) x common factors =1 x 1 = 1

LCM(57,169) = ( 57 × 169 ) / 1

LCM(57,169) = 9633 / 1

LCM(57,169) = 9633


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FAQs on GCF of Fractions of 267/57, 254/169

1. What is the HCF of 267,254?

The HCF of 267,254 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 267/57, 254/169?

Answer: GCF of Numerators as per given numbers 267/57, 254/169 is

GCF of Numerators i.e. for 267,254 is 1

LCM of denominators i.e. for 57,169 is 9633.

Thus, GCF of Fractions is 1/9633.Finally, GCF of Fractions for 267/57, 254/169 is 1/9633.