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GCF of 643/40, 341/588

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 643/40, 341/588 i.e 1/5880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 643/40, 341/588.

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 643/40,341/588?

Given fractions are 643/40,341/588

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 643/40,341/588, numerators are 643,341

Denominators are 40,588

The GCF of 643,341 is 1 .

LCM of 40,588 is 5880.

The greatest common factor of 643/40,341/588 = [GCF of 643,341]/[LCM of 40,588]= 1/5880

Therefore, the GCF of 643/40,341/588 is 1/5880.

Greatest Common Factor of 643,341

To find the highest common factor of 643,341, we have to find the factors of both numbers and list the highest common factor.

The factors of 643 are 1, 643

The factors of 341 are 1, 11, 31, 341

The HCF of 643,341 is 1.

Lets's calculate GCF of 643,341

Greatest Common Factor (GCF) of 643,341 By Common Division

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

Greatest Common Factor of 643,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,341 By Matching Biggest Common Factor Method

Now, list down the factors of 643

:

1,643

Now, list down the factors of 341

:

1,11,31,341

Greatest Common Factor

We found the factors 643,341 . The biggest common factor number is the GCF number.
So the greatest common factor 643,341 is 1.

Lets's calculate LCM of 40,588

Lowest Common Multiple of 40,588 using Common Division

2 40, 588
2 20, 294
10, 147

∴ So the LCM of the given numbers is 2 x 2 x 10 x 147 = 5880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5880

Therefore, the GCF of Fractions 643/40,341/588 is 1/5880

Least Common Multiple of 40,588 with GCF Formula

Least Common Multiple of 40,588 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 40,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,588) = 4

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

GCF(40,588) x common factors =4 x 1 = 4

LCM(40,588) = ( 40 × 588 ) / 4

LCM(40,588) = 23520 / 4

LCM(40,588) = 5880


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FAQs on GCF of Fractions of 643/40, 341/588

1. What is the HCF of 643,341?

The HCF of 643,341 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 643/40, 341/588?

Answer: GCF of Numerators as per given numbers 643/40, 341/588 is

GCF of Numerators i.e. for 643,341 is 1

LCM of denominators i.e. for 40,588 is 5880.

Thus, GCF of Fractions is 1/5880.Finally, GCF of Fractions for 643/40, 341/588 is 1/5880.