LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 40/824, 9441/6308

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 40/824, 9441/6308 i.e 1/1299448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/824, 9441/6308.

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 40/824,9441/6308?

Given fractions are 40/824,9441/6308

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 40/824,9441/6308, numerators are 40,9441

Denominators are 824,6308

The GCF of 40,9441 is 1 .

LCM of 824,6308 is 1299448.

The greatest common factor of 40/824,9441/6308 = [GCF of 40,9441]/[LCM of 824,6308]= 1/1299448

Therefore, the GCF of 40/824,9441/6308 is 1/1299448.

Greatest Common Factor of 40,9441

To find the highest common factor of 40,9441, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 9441 are 1, 3, 9, 1049, 3147, 9441

The HCF of 40,9441 is 1.

Lets's calculate GCF of 40,9441

Greatest Common Factor (GCF) of 40,9441 By Common Division

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

Greatest Common Factor of 40,9441 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9441 By Matching Biggest Common Factor Method

Now, list down the factors of 40

:

1,2,4,5,8,10,20,40

Now, list down the factors of 9441

:

1,3,9,1049,3147,9441

Greatest Common Factor

We found the factors 40,9441 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9441 is 1.

Lets's calculate LCM of 824,6308

Lowest Common Multiple of 824,6308 using Common Division

2 824, 6308
2 412, 3154
206, 1577

∴ So the LCM of the given numbers is 2 x 2 x 206 x 1577 = 1299448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1299448

Therefore, the GCF of Fractions 40/824,9441/6308 is 1/1299448

Least Common Multiple of 824,6308 with GCF Formula

Least Common Multiple of 824,6308 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 824,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,6308) = 4

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

GCF(824,6308) x common factors =4 x 1 = 4

LCM(824,6308) = ( 824 × 6308 ) / 4

LCM(824,6308) = 5197792 / 4

LCM(824,6308) = 1299448


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 40/824, 9441/6308

1. What is the HCF of 40,9441?

The HCF of 40,9441 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 40/824, 9441/6308?

Answer: GCF of Numerators as per given numbers 40/824, 9441/6308 is

GCF of Numerators i.e. for 40,9441 is 1

LCM of denominators i.e. for 824,6308 is 1299448.

Thus, GCF of Fractions is 1/1299448.Finally, GCF of Fractions for 40/824, 9441/6308 is 1/1299448.