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GCF of 642/861, 349/705

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 642/861, 349/705 i.e 1/202335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 642/861, 349/705.

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 642/861,349/705?

Given fractions are 642/861,349/705

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 642/861,349/705, numerators are 642,349

Denominators are 861,705

The GCF of 642,349 is 1 .

LCM of 861,705 is 202335.

The greatest common factor of 642/861,349/705 = [GCF of 642,349]/[LCM of 861,705]= 1/202335

Therefore, the GCF of 642/861,349/705 is 1/202335.

Greatest Common Factor of 642,349

To find the highest common factor of 642,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642

The factors of 349 are 1, 349

The HCF of 642,349 is 1.

Lets's calculate GCF of 642,349

Greatest Common Factor (GCF) of 642,349 By Common Division

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

Greatest Common Factor of 642,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,349 By Matching Biggest Common Factor Method

Now, list down the factors of 642

:

1,2,3,6,107,214,321,642

Now, list down the factors of 349

:

1,349

Greatest Common Factor

We found the factors 642,349 . The biggest common factor number is the GCF number.
So the greatest common factor 642,349 is 1.

Lets's calculate LCM of 861,705

Lowest Common Multiple of 861,705 using Common Division

3 861, 705
287, 235

∴ So the LCM of the given numbers is 3 x 287 x 235 = 202335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202335

Therefore, the GCF of Fractions 642/861,349/705 is 1/202335

Least Common Multiple of 861,705 with GCF Formula

Least Common Multiple of 861,705 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 861,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,705) = 3

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

GCF(861,705) x common factors =3 x 1 = 3

LCM(861,705) = ( 861 × 705 ) / 3

LCM(861,705) = 607005 / 3

LCM(861,705) = 202335


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FAQs on GCF of Fractions of 642/861, 349/705

1. What is the HCF of 642,349?

The HCF of 642,349 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 642/861, 349/705?

Answer: GCF of Numerators as per given numbers 642/861, 349/705 is

GCF of Numerators i.e. for 642,349 is 1

LCM of denominators i.e. for 861,705 is 202335.

Thus, GCF of Fractions is 1/202335.Finally, GCF of Fractions for 642/861, 349/705 is 1/202335.