How to Find GCF of 2329/959, 9542/1819?

GCF of 2329/959, 9542/1819

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 2329/959, 9542/1819 i.e 1/1744421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2329/959, 9542/1819.

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 2329/959,9542/1819?

Given fractions are 2329/959,9542/1819

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 2329/959,9542/1819, numerators are 2329,9542

Denominators are 959,1819

The GCF of 2329,9542 is 1 .

LCM of 959,1819 is 1744421.

The greatest common factor of 2329/959,9542/1819 = [GCF of 2329,9542]/[LCM of 959,1819]= 1/1744421

Therefore, the GCF of 2329/959,9542/1819 is 1/1744421.

Greatest Common Factor of 2329,9542

To find the highest common factor of 2329,9542, we have to find the factors of both numbers and list the highest common factor.

The factors of 2329 are 1, 17, 137, 2329

The factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542

The HCF of 2329,9542 is 1.

Lets's calculate GCF of 2329,9542

Greatest Common Factor (GCF) of 2329,9542 By Common Division

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

Greatest Common Factor of 2329,9542 By Matching Biggest Common Factor Method

Now, list down the factors of 2329

1,17,137,2329

Now, list down the factors of 9542

1,2,13,26,367,734,4771,9542

Greatest Common Factor

We found the factors 2329,9542 . The biggest common factor number is the GCF number.
So the greatest common factor 2329,9542 is 1.

Lets's calculate LCM of 959,1819

Lowest Common Multiple of 959,1819 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1744421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1744421

Therefore, the GCF of Fractions 2329/959,9542/1819 is 1/1744421

Least Common Multiple of 959,1819 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 959,1819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,1819) = 1

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

GCF(959,1819) x common factors =1 x 1 = 1

LCM(959,1819) = ( 959 × 1819 ) / 1

LCM(959,1819) = 1744421 / 1

LCM(959,1819) = 1744421

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FAQs on GCF of Fractions of 2329/959, 9542/1819

1. What is the HCF of 2329,9542?

The HCF of 2329,9542 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 2329/959, 9542/1819?

Answer: GCF of Numerators as per given numbers 2329/959, 9542/1819 is

GCF of Numerators i.e. for 2329,9542 is 1

LCM of denominators i.e. for 959,1819 is 1744421.

Thus, GCF of Fractions is 1/1744421.Finally, GCF of Fractions for 2329/959, 9542/1819 is 1/1744421.