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GCF of 353/586, 4587/3386

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 353/586, 4587/3386 i.e 1/992098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/586, 4587/3386.

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 353/586,4587/3386?

Given fractions are 353/586,4587/3386

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 353/586,4587/3386, numerators are 353,4587

Denominators are 586,3386

The GCF of 353,4587 is 1 .

LCM of 586,3386 is 992098.

The greatest common factor of 353/586,4587/3386 = [GCF of 353,4587]/[LCM of 586,3386]= 1/992098

Therefore, the GCF of 353/586,4587/3386 is 1/992098.

Greatest Common Factor of 353,4587

To find the highest common factor of 353,4587, 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 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587

The HCF of 353,4587 is 1.

Lets's calculate GCF of 353,4587

Greatest Common Factor (GCF) of 353,4587 By Common Division

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

Greatest Common Factor of 353,4587 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,4587 By Matching Biggest Common Factor Method

Now, list down the factors of 353

:

1,353

Now, list down the factors of 4587

:

1,3,11,33,139,417,1529,4587

Greatest Common Factor

We found the factors 353,4587 . The biggest common factor number is the GCF number.
So the greatest common factor 353,4587 is 1.

Lets's calculate LCM of 586,3386

Lowest Common Multiple of 586,3386 using Common Division

2 586, 3386
293, 1693

∴ So the LCM of the given numbers is 2 x 293 x 1693 = 992098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/992098

Therefore, the GCF of Fractions 353/586,4587/3386 is 1/992098

Least Common Multiple of 586,3386 with GCF Formula

Least Common Multiple of 586,3386 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 586,3386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,3386) = 2

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

GCF(586,3386) x common factors =2 x 1 = 2

LCM(586,3386) = ( 586 × 3386 ) / 2

LCM(586,3386) = 1984196 / 2

LCM(586,3386) = 992098


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FAQs on GCF of Fractions of 353/586, 4587/3386

1. What is the HCF of 353,4587?

The HCF of 353,4587 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 353/586, 4587/3386?

Answer: GCF of Numerators as per given numbers 353/586, 4587/3386 is

GCF of Numerators i.e. for 353,4587 is 1

LCM of denominators i.e. for 586,3386 is 992098.

Thus, GCF of Fractions is 1/992098.Finally, GCF of Fractions for 353/586, 4587/3386 is 1/992098.