How to Find GCF of 4548/959, 2623/3539?

GCF of 4548/959, 2623/3539

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 4548/959, 2623/3539 i.e 1/3393901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4548/959, 2623/3539.

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 4548/959,2623/3539?

Given fractions are 4548/959,2623/3539

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 4548/959,2623/3539, numerators are 4548,2623

Denominators are 959,3539

The GCF of 4548,2623 is 1 .

LCM of 959,3539 is 3393901.

The greatest common factor of 4548/959,2623/3539 = [GCF of 4548,2623]/[LCM of 959,3539]= 1/3393901

Therefore, the GCF of 4548/959,2623/3539 is 1/3393901.

Greatest Common Factor of 4548,2623

To find the highest common factor of 4548,2623, we have to find the factors of both numbers and list the highest common factor.

The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548

The factors of 2623 are 1, 43, 61, 2623

The HCF of 4548,2623 is 1.

Lets's calculate GCF of 4548,2623

Greatest Common Factor (GCF) of 4548,2623 By Common Division

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

Greatest Common Factor of 4548,2623 By Matching Biggest Common Factor Method

Now, list down the factors of 4548

1,2,3,4,6,12,379,758,1137,1516,2274,4548

Now, list down the factors of 2623

1,43,61,2623

Greatest Common Factor

We found the factors 4548,2623 . The biggest common factor number is the GCF number.
So the greatest common factor 4548,2623 is 1.

Lets's calculate LCM of 959,3539

Lowest Common Multiple of 959,3539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3393901

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3393901

Therefore, the GCF of Fractions 4548/959,2623/3539 is 1/3393901

Least Common Multiple of 959,3539 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 959,3539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,3539) = 1

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

GCF(959,3539) x common factors =1 x 1 = 1

LCM(959,3539) = ( 959 × 3539 ) / 1

LCM(959,3539) = 3393901 / 1

LCM(959,3539) = 3393901

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4548/959, 2623/3539

1. What is the HCF of 4548,2623?

The HCF of 4548,2623 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 4548/959, 2623/3539?

Answer: GCF of Numerators as per given numbers 4548/959, 2623/3539 is

GCF of Numerators i.e. for 4548,2623 is 1

LCM of denominators i.e. for 959,3539 is 3393901.

Thus, GCF of Fractions is 1/3393901.Finally, GCF of Fractions for 4548/959, 2623/3539 is 1/3393901.