How to Find GCF of 8443/274, 2698/1841?

GCF of 8443/274, 2698/1841

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 8443/274, 2698/1841 i.e 1/504434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8443/274, 2698/1841.

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 8443/274,2698/1841?

Given fractions are 8443/274,2698/1841

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 8443/274,2698/1841, numerators are 8443,2698

Denominators are 274,1841

The GCF of 8443,2698 is 1 .

LCM of 274,1841 is 504434.

The greatest common factor of 8443/274,2698/1841 = [GCF of 8443,2698]/[LCM of 274,1841]= 1/504434

Therefore, the GCF of 8443/274,2698/1841 is 1/504434.

Greatest Common Factor of 8443,2698

To find the highest common factor of 8443,2698, we have to find the factors of both numbers and list the highest common factor.

The factors of 8443 are 1, 8443

The factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698

The HCF of 8443,2698 is 1.

Lets's calculate GCF of 8443,2698

Greatest Common Factor (GCF) of 8443,2698 By Common Division

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

Greatest Common Factor of 8443,2698 By Matching Biggest Common Factor Method

Now, list down the factors of 8443

1,8443

Now, list down the factors of 2698

1,2,19,38,71,142,1349,2698

Greatest Common Factor

We found the factors 8443,2698 . The biggest common factor number is the GCF number.
So the greatest common factor 8443,2698 is 1.

Lets's calculate LCM of 274,1841

Lowest Common Multiple of 274,1841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 504434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504434

Therefore, the GCF of Fractions 8443/274,2698/1841 is 1/504434

Least Common Multiple of 274,1841 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 274,1841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,1841) = 1

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

GCF(274,1841) x common factors =1 x 1 = 1

LCM(274,1841) = ( 274 × 1841 ) / 1

LCM(274,1841) = 504434 / 1

LCM(274,1841) = 504434

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FAQs on GCF of Fractions of 8443/274, 2698/1841

1. What is the HCF of 8443,2698?

The HCF of 8443,2698 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 8443/274, 2698/1841?

Answer: GCF of Numerators as per given numbers 8443/274, 2698/1841 is

GCF of Numerators i.e. for 8443,2698 is 1

LCM of denominators i.e. for 274,1841 is 504434.

Thus, GCF of Fractions is 1/504434.Finally, GCF of Fractions for 8443/274, 2698/1841 is 1/504434.