How to Find GCF of 9623/981, 4382/544?

GCF of 9623/981, 4382/544

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 9623/981, 4382/544 i.e 1/533664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9623/981, 4382/544.

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 9623/981,4382/544?

Given fractions are 9623/981,4382/544

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 9623/981,4382/544, numerators are 9623,4382

Denominators are 981,544

The GCF of 9623,4382 is 1 .

LCM of 981,544 is 533664.

The greatest common factor of 9623/981,4382/544 = [GCF of 9623,4382]/[LCM of 981,544]= 1/533664

Therefore, the GCF of 9623/981,4382/544 is 1/533664.

Greatest Common Factor of 9623,4382

To find the highest common factor of 9623,4382, we have to find the factors of both numbers and list the highest common factor.

The factors of 9623 are 1, 9623

The factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382

The HCF of 9623,4382 is 1.

Lets's calculate GCF of 9623,4382

Greatest Common Factor (GCF) of 9623,4382 By Common Division

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

Greatest Common Factor of 9623,4382 By Matching Biggest Common Factor Method

Now, list down the factors of 9623

1,9623

Now, list down the factors of 4382

1,2,7,14,313,626,2191,4382

Greatest Common Factor

We found the factors 9623,4382 . The biggest common factor number is the GCF number.
So the greatest common factor 9623,4382 is 1.

Lets's calculate LCM of 981,544

Lowest Common Multiple of 981,544 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 533664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533664

Therefore, the GCF of Fractions 9623/981,4382/544 is 1/533664

Least Common Multiple of 981,544 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 981,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,544) = 1

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

GCF(981,544) x common factors =1 x 1 = 1

LCM(981,544) = ( 981 × 544 ) / 1

LCM(981,544) = 533664 / 1

LCM(981,544) = 533664

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FAQs on GCF of Fractions of 9623/981, 4382/544

1. What is the HCF of 9623,4382?

The HCF of 9623,4382 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 9623/981, 4382/544?

Answer: GCF of Numerators as per given numbers 9623/981, 4382/544 is

GCF of Numerators i.e. for 9623,4382 is 1

LCM of denominators i.e. for 981,544 is 533664.

Thus, GCF of Fractions is 1/533664.Finally, GCF of Fractions for 9623/981, 4382/544 is 1/533664.