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GCF of 565/204, 633/178

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 565/204, 633/178 i.e 1/18156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/204, 633/178.

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 565/204,633/178?

Given fractions are 565/204,633/178

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 565/204,633/178, numerators are 565,633

Denominators are 204,178

The GCF of 565,633 is 1 .

LCM of 204,178 is 18156.

The greatest common factor of 565/204,633/178 = [GCF of 565,633]/[LCM of 204,178]= 1/18156

Therefore, the GCF of 565/204,633/178 is 1/18156.

Greatest Common Factor of 565,633

To find the highest common factor of 565,633, we have to find the factors of both numbers and list the highest common factor.

The factors of 565 are 1, 5, 113, 565

The factors of 633 are 1, 3, 211, 633

The HCF of 565,633 is 1.

Lets's calculate GCF of 565,633

Greatest Common Factor (GCF) of 565,633 By Common Division

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

Greatest Common Factor of 565,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,633 By Matching Biggest Common Factor Method

Now, list down the factors of 565

:

1,5,113,565

Now, list down the factors of 633

:

1,3,211,633

Greatest Common Factor

We found the factors 565,633 . The biggest common factor number is the GCF number.
So the greatest common factor 565,633 is 1.

Lets's calculate LCM of 204,178

Lowest Common Multiple of 204,178 using Common Division

2 204, 178
102, 89

∴ So the LCM of the given numbers is 2 x 102 x 89 = 18156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18156

Therefore, the GCF of Fractions 565/204,633/178 is 1/18156

Least Common Multiple of 204,178 with GCF Formula

Least Common Multiple of 204,178 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 204,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,178) = 2

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

GCF(204,178) x common factors =2 x 1 = 2

LCM(204,178) = ( 204 × 178 ) / 2

LCM(204,178) = 36312 / 2

LCM(204,178) = 18156


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FAQs on GCF of Fractions of 565/204, 633/178

1. What is the HCF of 565,633?

The HCF of 565,633 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 565/204, 633/178?

Answer: GCF of Numerators as per given numbers 565/204, 633/178 is

GCF of Numerators i.e. for 565,633 is 1

LCM of denominators i.e. for 204,178 is 18156.

Thus, GCF of Fractions is 1/18156.Finally, GCF of Fractions for 565/204, 633/178 is 1/18156.