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GCF of 843/92, 289/598

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 843/92, 289/598 i.e 1/1196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 843/92, 289/598.

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 843/92,289/598?

Given fractions are 843/92,289/598

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 843/92,289/598, numerators are 843,289

Denominators are 92,598

The GCF of 843,289 is 1 .

LCM of 92,598 is 1196.

The greatest common factor of 843/92,289/598 = [GCF of 843,289]/[LCM of 92,598]= 1/1196

Therefore, the GCF of 843/92,289/598 is 1/1196.

Greatest Common Factor of 843,289

To find the highest common factor of 843,289, we have to find the factors of both numbers and list the highest common factor.

The factors of 843 are 1, 3, 281, 843

The factors of 289 are 1, 17, 289

The HCF of 843,289 is 1.

Lets's calculate GCF of 843,289

Greatest Common Factor (GCF) of 843,289 By Common Division

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

Greatest Common Factor of 843,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,289 By Matching Biggest Common Factor Method

Now, list down the factors of 843

:

1,3,281,843

Now, list down the factors of 289

:

1,17,289

Greatest Common Factor

We found the factors 843,289 . The biggest common factor number is the GCF number.
So the greatest common factor 843,289 is 1.

Lets's calculate LCM of 92,598

Lowest Common Multiple of 92,598 using Common Division

2 92, 598
23 46, 299
2, 13

∴ So the LCM of the given numbers is 2 x 23 x 2 x 13 = 1196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1196

Therefore, the GCF of Fractions 843/92,289/598 is 1/1196

Least Common Multiple of 92,598 with GCF Formula

Least Common Multiple of 92,598 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 92,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,598) = 46

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

GCF(92,598) x common factors =46 x 1 = 46

LCM(92,598) = ( 92 × 598 ) / 46

LCM(92,598) = 55016 / 46

LCM(92,598) = 1196


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FAQs on GCF of Fractions of 843/92, 289/598

1. What is the HCF of 843,289?

The HCF of 843,289 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 843/92, 289/598?

Answer: GCF of Numerators as per given numbers 843/92, 289/598 is

GCF of Numerators i.e. for 843,289 is 1

LCM of denominators i.e. for 92,598 is 1196.

Thus, GCF of Fractions is 1/1196.Finally, GCF of Fractions for 843/92, 289/598 is 1/1196.