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GCF of 353/382, 2941/884

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 353/382, 2941/884 i.e 1/168844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/382, 2941/884.

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 353/382,2941/884?

Given fractions are 353/382,2941/884

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 353/382,2941/884, numerators are 353,2941

Denominators are 382,884

The GCF of 353,2941 is 1 .

LCM of 382,884 is 168844.

The greatest common factor of 353/382,2941/884 = [GCF of 353,2941]/[LCM of 382,884]= 1/168844

Therefore, the GCF of 353/382,2941/884 is 1/168844.

Greatest Common Factor of 353,2941

To find the highest common factor of 353,2941, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

The factors of 2941 are 1, 17, 173, 2941

The HCF of 353,2941 is 1.

Lets's calculate GCF of 353,2941

Greatest Common Factor (GCF) of 353,2941 By Common Division

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

Greatest Common Factor of 353,2941 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,2941 By Matching Biggest Common Factor Method

Now, list down the factors of 353

:

1,353

Now, list down the factors of 2941

:

1,17,173,2941

Greatest Common Factor

We found the factors 353,2941 . The biggest common factor number is the GCF number.
So the greatest common factor 353,2941 is 1.

Lets's calculate LCM of 382,884

Lowest Common Multiple of 382,884 using Common Division

2 382, 884
191, 442

∴ So the LCM of the given numbers is 2 x 191 x 442 = 168844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168844

Therefore, the GCF of Fractions 353/382,2941/884 is 1/168844

Least Common Multiple of 382,884 with GCF Formula

Least Common Multiple of 382,884 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 382,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,884) = 2

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

GCF(382,884) x common factors =2 x 1 = 2

LCM(382,884) = ( 382 × 884 ) / 2

LCM(382,884) = 337688 / 2

LCM(382,884) = 168844


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FAQs on GCF of Fractions of 353/382, 2941/884

1. What is the HCF of 353,2941?

The HCF of 353,2941 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 353/382, 2941/884?

Answer: GCF of Numerators as per given numbers 353/382, 2941/884 is

GCF of Numerators i.e. for 353,2941 is 1

LCM of denominators i.e. for 382,884 is 168844.

Thus, GCF of Fractions is 1/168844.Finally, GCF of Fractions for 353/382, 2941/884 is 1/168844.