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GCF of 199/644, 3414/2834

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 199/644, 3414/2834 i.e 1/912548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 199/644, 3414/2834.

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 199/644,3414/2834?

Given fractions are 199/644,3414/2834

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 199/644,3414/2834, numerators are 199,3414

Denominators are 644,2834

The GCF of 199,3414 is 1 .

LCM of 644,2834 is 912548.

The greatest common factor of 199/644,3414/2834 = [GCF of 199,3414]/[LCM of 644,2834]= 1/912548

Therefore, the GCF of 199/644,3414/2834 is 1/912548.

Greatest Common Factor of 199,3414

To find the highest common factor of 199,3414, 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 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414

The HCF of 199,3414 is 1.

Lets's calculate GCF of 199,3414

Greatest Common Factor (GCF) of 199,3414 By Common Division

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

Greatest Common Factor of 199,3414 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,3414 By Matching Biggest Common Factor Method

Now, list down the factors of 199

:

1,199

Now, list down the factors of 3414

:

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors 199,3414 . The biggest common factor number is the GCF number.
So the greatest common factor 199,3414 is 1.

Lets's calculate LCM of 644,2834

Lowest Common Multiple of 644,2834 using Common Division

2 644, 2834
322, 1417

∴ So the LCM of the given numbers is 2 x 322 x 1417 = 912548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912548

Therefore, the GCF of Fractions 199/644,3414/2834 is 1/912548

Least Common Multiple of 644,2834 with GCF Formula

Least Common Multiple of 644,2834 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 644,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,2834) = 2

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

GCF(644,2834) x common factors =2 x 1 = 2

LCM(644,2834) = ( 644 × 2834 ) / 2

LCM(644,2834) = 1825096 / 2

LCM(644,2834) = 912548


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 199/644, 3414/2834

1. What is the HCF of 199,3414?

The HCF of 199,3414 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 199/644, 3414/2834?

Answer: GCF of Numerators as per given numbers 199/644, 3414/2834 is

GCF of Numerators i.e. for 199,3414 is 1

LCM of denominators i.e. for 644,2834 is 912548.

Thus, GCF of Fractions is 1/912548.Finally, GCF of Fractions for 199/644, 3414/2834 is 1/912548.