How to Find GCF of 199/52, 641/2366?

GCF of 199/52, 641/2366

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 199/52, 641/2366 i.e 1/4732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 199/52, 641/2366.

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 199/52,641/2366?

Given fractions are 199/52,641/2366

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 199/52,641/2366, numerators are 199,641

Denominators are 52,2366

The GCF of 199,641 is 1 .

LCM of 52,2366 is 4732.

The greatest common factor of 199/52,641/2366 = [GCF of 199,641]/[LCM of 52,2366]= 1/4732

Therefore, the GCF of 199/52,641/2366 is 1/4732.

Greatest Common Factor of 199,641

To find the highest common factor of 199,641, we have to find the factors of both numbers and list the highest common factor.

The factors of 199 are 1, 199

The factors of 641 are 1, 641

The HCF of 199,641 is 1.

Lets's calculate GCF of 199,641

Greatest Common Factor (GCF) of 199,641 By Common Division

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

Greatest Common Factor of 199,641 By Matching Biggest Common Factor Method

Now, list down the factors of 199

1,199

Now, list down the factors of 641

1,641

Greatest Common Factor

We found the factors 199,641 . The biggest common factor number is the GCF number.
So the greatest common factor 199,641 is 1.

Lets's calculate LCM of 52,2366

Lowest Common Multiple of 52,2366 using Common Division

2	52, 2366
13	26, 1183
	2, 91

∴ So the LCM of the given numbers is 2 x 13 x 2 x 91 = 4732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4732

Therefore, the GCF of Fractions 199/52,641/2366 is 1/4732

Least Common Multiple of 52,2366 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 52,2366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,2366) = 26

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

GCF(52,2366) x common factors =26 x 1 = 26

LCM(52,2366) = ( 52 × 2366 ) / 26

LCM(52,2366) = 123032 / 26

LCM(52,2366) = 4732

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FAQs on GCF of Fractions of 199/52, 641/2366

1. What is the HCF of 199,641?

The HCF of 199,641 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 199/52, 641/2366?

Answer: GCF of Numerators as per given numbers 199/52, 641/2366 is

GCF of Numerators i.e. for 199,641 is 1

LCM of denominators i.e. for 52,2366 is 4732.

Thus, GCF of Fractions is 1/4732.Finally, GCF of Fractions for 199/52, 641/2366 is 1/4732.