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GCF of 566/78, 298/223

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 566/78, 298/223 i.e 2/17394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/78, 298/223.

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 566/78,298/223?

Given fractions are 566/78,298/223

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 566/78,298/223, numerators are 566,298

Denominators are 78,223

The GCF of 566,298 is 2 .

LCM of 78,223 is 17394.

The greatest common factor of 566/78,298/223 = [GCF of 566,298]/[LCM of 78,223]= 2/17394

Therefore, the GCF of 566/78,298/223 is 2/17394.

Greatest Common Factor of 566,298

To find the highest common factor of 566,298, 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 298 are 1, 2, 149, 298

The HCF of 566,298 is 2.

Lets's calculate GCF of 566,298

Greatest Common Factor (GCF) of 566,298 By Common Division

2 566, 298
283, 149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 566,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,298 By Matching Biggest Common Factor Method

Now, list down the factors of 566

:

1,2,283,566

Now, list down the factors of 298

:

1,2,149,298

Greatest Common Factor

We found the factors 566,298 . The biggest common factor number is the GCF number.
So the greatest common factor 566,298 is 2.

Lets's calculate LCM of 78,223

Lowest Common Multiple of 78,223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17394

Therefore, the GCF of Fractions 566/78,298/223 is 2/17394

Least Common Multiple of 78,223 with GCF Formula

Least Common Multiple of 78,223 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 78,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,223) = 1

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

GCF(78,223) x common factors =1 x 1 = 1

LCM(78,223) = ( 78 × 223 ) / 1

LCM(78,223) = 17394 / 1

LCM(78,223) = 17394


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FAQs on GCF of Fractions of 566/78, 298/223

1. What is the HCF of 566,298?

The HCF of 566,298 is 2

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 566/78, 298/223?

Answer: GCF of Numerators as per given numbers 566/78, 298/223 is

GCF of Numerators i.e. for 566,298 is 2

LCM of denominators i.e. for 78,223 is 17394.

Thus, GCF of Fractions is 2/17394.Finally, GCF of Fractions for 566/78, 298/223 is 2/17394.