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GCF of 9857/580, 5437/3924

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 9857/580, 5437/3924 i.e 1/568980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9857/580, 5437/3924.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 9857/580,5437/3924?

Given fractions are 9857/580,5437/3924

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 9857/580,5437/3924, numerators are 9857,5437

Denominators are 580,3924

The GCF of 9857,5437 is 1 .

LCM of 580,3924 is 568980.

The greatest common factor of 9857/580,5437/3924 = [GCF of 9857,5437]/[LCM of 580,3924]= 1/568980

Therefore, the GCF of 9857/580,5437/3924 is 1/568980.

Greatest Common Factor of 9857,5437

To find the highest common factor of 9857,5437, we have to find the factors of both numbers and list the highest common factor.

The factors of 9857 are 1, 9857

The factors of 5437 are 1, 5437

The HCF of 9857,5437 is 1.

Lets's calculate GCF of 9857,5437

Greatest Common Factor (GCF) of 9857,5437 By Common Division

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

Greatest Common Factor of 9857,5437 By Matching Biggest Common Factor Method

Greatest Common Factor of 9857,5437 By Matching Biggest Common Factor Method

Now, list down the factors of 9857

:

1,9857

Now, list down the factors of 5437

:

1,5437

Greatest Common Factor

We found the factors 9857,5437 . The biggest common factor number is the GCF number.
So the greatest common factor 9857,5437 is 1.


Lets's calculate LCM of 580,3924

Lowest Common Multiple of 580,3924 using Common Division

2 580, 3924
2 290, 1962
145, 981

∴ So the LCM of the given numbers is 2 x 2 x 145 x 981 = 568980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568980

Therefore, the GCF of Fractions 9857/580,5437/3924 is 1/568980

Least Common Multiple of 580,3924 with GCF Formula

Least Common Multiple of 580,3924 with GCF Formula

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

We need to calculate greatest common factor of 580,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,3924) = 4

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

GCF(580,3924) x common factors =4 x 1 = 4

LCM(580,3924) = ( 580 × 3924 ) / 4

LCM(580,3924) = 2275920 / 4

LCM(580,3924) = 568980


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9857/580, 5437/3924

1. What is the HCF of 9857,5437?

The HCF of 9857,5437 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 9857/580, 5437/3924?

Answer: GCF of Numerators as per given numbers 9857/580, 5437/3924 is

GCF of Numerators i.e. for 9857,5437 is 1

LCM of denominators i.e. for 580,3924 is 568980.

Thus, GCF of Fractions is 1/568980.Finally, GCF of Fractions for 9857/580, 5437/3924 is 1/568980.