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GCF of 284/26, 127/566

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 284/26, 127/566 i.e 1/7358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 284/26, 127/566.

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 284/26,127/566?

Given fractions are 284/26,127/566

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 284/26,127/566, numerators are 284,127

Denominators are 26,566

The GCF of 284,127 is 1 .

LCM of 26,566 is 7358.

The greatest common factor of 284/26,127/566 = [GCF of 284,127]/[LCM of 26,566]= 1/7358

Therefore, the GCF of 284/26,127/566 is 1/7358.

Greatest Common Factor of 284,127

To find the highest common factor of 284,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 284 are 1, 2, 4, 71, 142, 284

The factors of 127 are 1, 127

The HCF of 284,127 is 1.

Lets's calculate GCF of 284,127

Greatest Common Factor (GCF) of 284,127 By Common Division

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

Greatest Common Factor of 284,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,127 By Matching Biggest Common Factor Method

Now, list down the factors of 284

:

1,2,4,71,142,284

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 284,127 . The biggest common factor number is the GCF number.
So the greatest common factor 284,127 is 1.

Lets's calculate LCM of 26,566

Lowest Common Multiple of 26,566 using Common Division

2 26, 566
13, 283

∴ So the LCM of the given numbers is 2 x 13 x 283 = 7358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7358

Therefore, the GCF of Fractions 284/26,127/566 is 1/7358

Least Common Multiple of 26,566 with GCF Formula

Least Common Multiple of 26,566 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 26,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,566) = 2

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

GCF(26,566) x common factors =2 x 1 = 2

LCM(26,566) = ( 26 × 566 ) / 2

LCM(26,566) = 14716 / 2

LCM(26,566) = 7358


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FAQs on GCF of Fractions of 284/26, 127/566

1. What is the HCF of 284,127?

The HCF of 284,127 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 284/26, 127/566?

Answer: GCF of Numerators as per given numbers 284/26, 127/566 is

GCF of Numerators i.e. for 284,127 is 1

LCM of denominators i.e. for 26,566 is 7358.

Thus, GCF of Fractions is 1/7358.Finally, GCF of Fractions for 284/26, 127/566 is 1/7358.