How to Find GCF of 6353/204, 2255/646?

GCF of 6353/204, 2255/646

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 6353/204, 2255/646 i.e 1/3876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6353/204, 2255/646.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6353/204,2255/646?

Given fractions are 6353/204,2255/646

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 6353/204,2255/646, numerators are 6353,2255

Denominators are 204,646

The GCF of 6353,2255 is 1 .

LCM of 204,646 is 3876.

The greatest common factor of 6353/204,2255/646 = [GCF of 6353,2255]/[LCM of 204,646]= 1/3876

Therefore, the GCF of 6353/204,2255/646 is 1/3876.

Greatest Common Factor of 6353,2255

To find the highest common factor of 6353,2255, we have to find the factors of both numbers and list the highest common factor.

The factors of 6353 are 1, 6353

The factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255

The HCF of 6353,2255 is 1.

Lets's calculate GCF of 6353,2255

Greatest Common Factor (GCF) of 6353,2255 By Common Division

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

Greatest Common Factor of 6353,2255 By Matching Biggest Common Factor Method

Now, list down the factors of 6353

1,6353

Now, list down the factors of 2255

1,5,11,41,55,205,451,2255

Greatest Common Factor

We found the factors 6353,2255 . The biggest common factor number is the GCF number.
So the greatest common factor 6353,2255 is 1.

Lets's calculate LCM of 204,646

Lowest Common Multiple of 204,646 using Common Division

2	204, 646
17	102, 323
	6, 19

∴ So the LCM of the given numbers is 2 x 17 x 6 x 19 = 3876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3876

Therefore, the GCF of Fractions 6353/204,2255/646 is 1/3876

Least Common Multiple of 204,646 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 204,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,646) = 34

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

GCF(204,646) x common factors =34 x 1 = 34

LCM(204,646) = ( 204 × 646 ) / 34

LCM(204,646) = 131784 / 34

LCM(204,646) = 3876

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FAQs on GCF of Fractions of 6353/204, 2255/646

1. What is the HCF of 6353,2255?

The HCF of 6353,2255 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 6353/204, 2255/646?

Answer: GCF of Numerators as per given numbers 6353/204, 2255/646 is

GCF of Numerators i.e. for 6353,2255 is 1

LCM of denominators i.e. for 204,646 is 3876.

Thus, GCF of Fractions is 1/3876.Finally, GCF of Fractions for 6353/204, 2255/646 is 1/3876.