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GCF of 566/10, 299/546

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 566/10, 299/546 i.e 1/2730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/10, 299/546.

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 566/10,299/546?

Given fractions are 566/10,299/546

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 566/10,299/546, numerators are 566,299

Denominators are 10,546

The GCF of 566,299 is 1 .

LCM of 10,546 is 2730.

The greatest common factor of 566/10,299/546 = [GCF of 566,299]/[LCM of 10,546]= 1/2730

Therefore, the GCF of 566/10,299/546 is 1/2730.

Greatest Common Factor of 566,299

To find the highest common factor of 566,299, we have to find the factors of both numbers and list the highest common factor.

The factors of 566 are 1, 2, 283, 566

The factors of 299 are 1, 13, 23, 299

The HCF of 566,299 is 1.

Lets's calculate GCF of 566,299

Greatest Common Factor (GCF) of 566,299 By Common Division

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

Greatest Common Factor of 566,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,299 By Matching Biggest Common Factor Method

Now, list down the factors of 566

:

1,2,283,566

Now, list down the factors of 299

:

1,13,23,299

Greatest Common Factor

We found the factors 566,299 . The biggest common factor number is the GCF number.
So the greatest common factor 566,299 is 1.

Lets's calculate LCM of 10,546

Lowest Common Multiple of 10,546 using Common Division

2 10, 546
5, 273

∴ So the LCM of the given numbers is 2 x 5 x 273 = 2730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2730

Therefore, the GCF of Fractions 566/10,299/546 is 1/2730

Least Common Multiple of 10,546 with GCF Formula

Least Common Multiple of 10,546 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 10,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,546) = 2

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

GCF(10,546) x common factors =2 x 1 = 2

LCM(10,546) = ( 10 × 546 ) / 2

LCM(10,546) = 5460 / 2

LCM(10,546) = 2730


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FAQs on GCF of Fractions of 566/10, 299/546

1. What is the HCF of 566,299?

The HCF of 566,299 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 566/10, 299/546?

Answer: GCF of Numerators as per given numbers 566/10, 299/546 is

GCF of Numerators i.e. for 566,299 is 1

LCM of denominators i.e. for 10,546 is 2730.

Thus, GCF of Fractions is 1/2730.Finally, GCF of Fractions for 566/10, 299/546 is 1/2730.