How to Find GCF of 9545/592, 1437/8310?

GCF of 9545/592, 1437/8310

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 9545/592, 1437/8310 i.e 1/2459760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9545/592, 1437/8310.

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 9545/592,1437/8310?

Given fractions are 9545/592,1437/8310

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 9545/592,1437/8310, numerators are 9545,1437

Denominators are 592,8310

The GCF of 9545,1437 is 1 .

LCM of 592,8310 is 2459760.

The greatest common factor of 9545/592,1437/8310 = [GCF of 9545,1437]/[LCM of 592,8310]= 1/2459760

Therefore, the GCF of 9545/592,1437/8310 is 1/2459760.

Greatest Common Factor of 9545,1437

To find the highest common factor of 9545,1437, we have to find the factors of both numbers and list the highest common factor.

The factors of 9545 are 1, 5, 23, 83, 115, 415, 1909, 9545

The factors of 1437 are 1, 3, 479, 1437

The HCF of 9545,1437 is 1.

Lets's calculate GCF of 9545,1437

Greatest Common Factor (GCF) of 9545,1437 By Common Division

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

Greatest Common Factor of 9545,1437 By Matching Biggest Common Factor Method

Now, list down the factors of 9545

1,5,23,83,115,415,1909,9545

Now, list down the factors of 1437

1,3,479,1437

Greatest Common Factor

We found the factors 9545,1437 . The biggest common factor number is the GCF number.
So the greatest common factor 9545,1437 is 1.

Lets's calculate LCM of 592,8310

Lowest Common Multiple of 592,8310 using Common Division

2	592, 8310
	296, 4155

∴ So the LCM of the given numbers is 2 x 296 x 4155 = 2459760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2459760

Therefore, the GCF of Fractions 9545/592,1437/8310 is 1/2459760

Least Common Multiple of 592,8310 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 592,8310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,8310) = 2

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

GCF(592,8310) x common factors =2 x 1 = 2

LCM(592,8310) = ( 592 × 8310 ) / 2

LCM(592,8310) = 4919520 / 2

LCM(592,8310) = 2459760

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FAQs on GCF of Fractions of 9545/592, 1437/8310

1. What is the HCF of 9545,1437?

The HCF of 9545,1437 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 9545/592, 1437/8310?

Answer: GCF of Numerators as per given numbers 9545/592, 1437/8310 is

GCF of Numerators i.e. for 9545,1437 is 1

LCM of denominators i.e. for 592,8310 is 2459760.

Thus, GCF of Fractions is 1/2459760.Finally, GCF of Fractions for 9545/592, 1437/8310 is 1/2459760.