How to Find GCF of 843/89, 290/2048?

GCF of 843/89, 290/2048

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 843/89, 290/2048 i.e 1/182272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 843/89, 290/2048.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 843/89,290/2048?

Given fractions are 843/89,290/2048

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 843/89,290/2048, numerators are 843,290

Denominators are 89,2048

The GCF of 843,290 is 1 .

LCM of 89,2048 is 182272.

The greatest common factor of 843/89,290/2048 = [GCF of 843,290]/[LCM of 89,2048]= 1/182272

Therefore, the GCF of 843/89,290/2048 is 1/182272.

Greatest Common Factor of 843,290

To find the highest common factor of 843,290, 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 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 843,290 is 1.

Lets's calculate GCF of 843,290

Greatest Common Factor (GCF) of 843,290 By Common Division

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

Greatest Common Factor of 843,290 By Matching Biggest Common Factor Method

Now, list down the factors of 843

1,3,281,843

Now, list down the factors of 290

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 843,290 . The biggest common factor number is the GCF number.
So the greatest common factor 843,290 is 1.

Lets's calculate LCM of 89,2048

Lowest Common Multiple of 89,2048 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 182272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182272

Therefore, the GCF of Fractions 843/89,290/2048 is 1/182272

Least Common Multiple of 89,2048 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,2048) = 1

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

GCF(89,2048) x common factors =1 x 1 = 1

LCM(89,2048) = ( 89 × 2048 ) / 1

LCM(89,2048) = 182272 / 1

LCM(89,2048) = 182272

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FAQs on GCF of Fractions of 843/89, 290/2048

1. What is the HCF of 843,290?

The HCF of 843,290 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 843/89, 290/2048?

Answer: GCF of Numerators as per given numbers 843/89, 290/2048 is

GCF of Numerators i.e. for 843,290 is 1

LCM of denominators i.e. for 89,2048 is 182272.

Thus, GCF of Fractions is 1/182272.Finally, GCF of Fractions for 843/89, 290/2048 is 1/182272.