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GCF of 469/337, 281/566

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 469/337, 281/566 i.e 1/190742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 469/337, 281/566.

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 469/337,281/566?

Given fractions are 469/337,281/566

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 469/337,281/566, numerators are 469,281

Denominators are 337,566

The GCF of 469,281 is 1 .

LCM of 337,566 is 190742.

The greatest common factor of 469/337,281/566 = [GCF of 469,281]/[LCM of 337,566]= 1/190742

Therefore, the GCF of 469/337,281/566 is 1/190742.

Greatest Common Factor of 469,281

To find the highest common factor of 469,281, we have to find the factors of both numbers and list the highest common factor.

The factors of 469 are 1, 7, 67, 469

The factors of 281 are 1, 281

The HCF of 469,281 is 1.

Lets's calculate GCF of 469,281

Greatest Common Factor (GCF) of 469,281 By Common Division

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

Greatest Common Factor of 469,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,281 By Matching Biggest Common Factor Method

Now, list down the factors of 469

:

1,7,67,469

Now, list down the factors of 281

:

1,281

Greatest Common Factor

We found the factors 469,281 . The biggest common factor number is the GCF number.
So the greatest common factor 469,281 is 1.

Lets's calculate LCM of 337,566

Lowest Common Multiple of 337,566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 190742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190742

Therefore, the GCF of Fractions 469/337,281/566 is 1/190742

Least Common Multiple of 337,566 with GCF Formula

Least Common Multiple of 337,566 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 337,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,566) = 1

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

GCF(337,566) x common factors =1 x 1 = 1

LCM(337,566) = ( 337 × 566 ) / 1

LCM(337,566) = 190742 / 1

LCM(337,566) = 190742


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FAQs on GCF of Fractions of 469/337, 281/566

1. What is the HCF of 469,281?

The HCF of 469,281 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 469/337, 281/566?

Answer: GCF of Numerators as per given numbers 469/337, 281/566 is

GCF of Numerators i.e. for 469,281 is 1

LCM of denominators i.e. for 337,566 is 190742.

Thus, GCF of Fractions is 1/190742.Finally, GCF of Fractions for 469/337, 281/566 is 1/190742.