How to Find GCF of 9435/460, 9783/6436?

GCF of 9435/460, 9783/6436

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 9435/460, 9783/6436 i.e 3/740140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9435/460, 9783/6436.

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 9435/460,9783/6436?

Given fractions are 9435/460,9783/6436

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 9435/460,9783/6436, numerators are 9435,9783

Denominators are 460,6436

The GCF of 9435,9783 is 3 .

LCM of 460,6436 is 740140.

The greatest common factor of 9435/460,9783/6436 = [GCF of 9435,9783]/[LCM of 460,6436]= 3/740140

Therefore, the GCF of 9435/460,9783/6436 is 3/740140.

Greatest Common Factor of 9435,9783

To find the highest common factor of 9435,9783, we have to find the factors of both numbers and list the highest common factor.

The factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435

The factors of 9783 are 1, 3, 9, 1087, 3261, 9783

The HCF of 9435,9783 is 3.

Lets's calculate GCF of 9435,9783

Greatest Common Factor (GCF) of 9435,9783 By Common Division

3	9435, 9783
	3145, 3261

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9435,9783 By Matching Biggest Common Factor Method

Now, list down the factors of 9435

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Now, list down the factors of 9783

1,3,9,1087,3261,9783

Greatest Common Factor

We found the factors 9435,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 9435,9783 is 3.

Lets's calculate LCM of 460,6436

Lowest Common Multiple of 460,6436 using Common Division

2	460, 6436
2	230, 3218
	115, 1609

∴ So the LCM of the given numbers is 2 x 2 x 115 x 1609 = 740140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/740140

Therefore, the GCF of Fractions 9435/460,9783/6436 is 3/740140

Least Common Multiple of 460,6436 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 460,6436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,6436) = 4

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

GCF(460,6436) x common factors =4 x 1 = 4

LCM(460,6436) = ( 460 × 6436 ) / 4

LCM(460,6436) = 2960560 / 4

LCM(460,6436) = 740140

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9435/460, 9783/6436

1. What is the HCF of 9435,9783?

The HCF of 9435,9783 is 3

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 9435/460, 9783/6436?

Answer: GCF of Numerators as per given numbers 9435/460, 9783/6436 is

GCF of Numerators i.e. for 9435,9783 is 3

LCM of denominators i.e. for 460,6436 is 740140.

Thus, GCF of Fractions is 3/740140.Finally, GCF of Fractions for 9435/460, 9783/6436 is 3/740140.