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GCF of 93/642, 5851/1828

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 93/642, 5851/1828 i.e 1/586788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/642, 5851/1828.

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 93/642,5851/1828?

Given fractions are 93/642,5851/1828

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 93/642,5851/1828, numerators are 93,5851

Denominators are 642,1828

The GCF of 93,5851 is 1 .

LCM of 642,1828 is 586788.

The greatest common factor of 93/642,5851/1828 = [GCF of 93,5851]/[LCM of 642,1828]= 1/586788

Therefore, the GCF of 93/642,5851/1828 is 1/586788.

Greatest Common Factor of 93,5851

To find the highest common factor of 93,5851, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 5851 are 1, 5851

The HCF of 93,5851 is 1.

Lets's calculate GCF of 93,5851

Greatest Common Factor (GCF) of 93,5851 By Common Division

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

Greatest Common Factor of 93,5851 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,5851 By Matching Biggest Common Factor Method

Now, list down the factors of 93

:

1,3,31,93

Now, list down the factors of 5851

:

1,5851

Greatest Common Factor

We found the factors 93,5851 . The biggest common factor number is the GCF number.
So the greatest common factor 93,5851 is 1.

Lets's calculate LCM of 642,1828

Lowest Common Multiple of 642,1828 using Common Division

2 642, 1828
321, 914

∴ So the LCM of the given numbers is 2 x 321 x 914 = 586788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586788

Therefore, the GCF of Fractions 93/642,5851/1828 is 1/586788

Least Common Multiple of 642,1828 with GCF Formula

Least Common Multiple of 642,1828 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 642,1828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,1828) = 2

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

GCF(642,1828) x common factors =2 x 1 = 2

LCM(642,1828) = ( 642 × 1828 ) / 2

LCM(642,1828) = 1173576 / 2

LCM(642,1828) = 586788


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FAQs on GCF of Fractions of 93/642, 5851/1828

1. What is the HCF of 93,5851?

The HCF of 93,5851 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 93/642, 5851/1828?

Answer: GCF of Numerators as per given numbers 93/642, 5851/1828 is

GCF of Numerators i.e. for 93,5851 is 1

LCM of denominators i.e. for 642,1828 is 586788.

Thus, GCF of Fractions is 1/586788.Finally, GCF of Fractions for 93/642, 5851/1828 is 1/586788.