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GCF of 568/80, 618/211

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 568/80, 618/211 i.e 2/16880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/80, 618/211.

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 568/80,618/211?

Given fractions are 568/80,618/211

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 568/80,618/211, numerators are 568,618

Denominators are 80,211

The GCF of 568,618 is 2 .

LCM of 80,211 is 16880.

The greatest common factor of 568/80,618/211 = [GCF of 568,618]/[LCM of 80,211]= 2/16880

Therefore, the GCF of 568/80,618/211 is 2/16880.

Greatest Common Factor of 568,618

To find the highest common factor of 568,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 568,618 is 2.

Lets's calculate GCF of 568,618

Greatest Common Factor (GCF) of 568,618 By Common Division

2 568, 618
284, 309

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

Greatest Common Factor of 568,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,618 By Matching Biggest Common Factor Method

Now, list down the factors of 568

:

1,2,4,8,71,142,284,568

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 568,618 . The biggest common factor number is the GCF number.
So the greatest common factor 568,618 is 2.

Lets's calculate LCM of 80,211

Lowest Common Multiple of 80,211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16880

Therefore, the GCF of Fractions 568/80,618/211 is 2/16880

Least Common Multiple of 80,211 with GCF Formula

Least Common Multiple of 80,211 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 80,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,211) = 1

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

GCF(80,211) x common factors =1 x 1 = 1

LCM(80,211) = ( 80 × 211 ) / 1

LCM(80,211) = 16880 / 1

LCM(80,211) = 16880


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FAQs on GCF of Fractions of 568/80, 618/211

1. What is the HCF of 568,618?

The HCF of 568,618 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 568/80, 618/211?

Answer: GCF of Numerators as per given numbers 568/80, 618/211 is

GCF of Numerators i.e. for 568,618 is 2

LCM of denominators i.e. for 80,211 is 16880.

Thus, GCF of Fractions is 2/16880.Finally, GCF of Fractions for 568/80, 618/211 is 2/16880.