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 282/11, 849/354

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 282/11, 849/354 i.e 3/3894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 282/11, 849/354.

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 282/11,849/354?

Given fractions are 282/11,849/354

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 282/11,849/354, numerators are 282,849

Denominators are 11,354

The GCF of 282,849 is 3 .

LCM of 11,354 is 3894.

The greatest common factor of 282/11,849/354 = [GCF of 282,849]/[LCM of 11,354]= 3/3894

Therefore, the GCF of 282/11,849/354 is 3/3894.

Greatest Common Factor of 282,849

To find the highest common factor of 282,849, we have to find the factors of both numbers and list the highest common factor.

The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282

The factors of 849 are 1, 3, 283, 849

The HCF of 282,849 is 3.

Lets's calculate GCF of 282,849

Greatest Common Factor (GCF) of 282,849 By Common Division

3 282, 849
94, 283

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

Greatest Common Factor of 282,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,849 By Matching Biggest Common Factor Method

Now, list down the factors of 282

:

1,2,3,6,47,94,141,282

Now, list down the factors of 849

:

1,3,283,849

Greatest Common Factor

We found the factors 282,849 . The biggest common factor number is the GCF number.
So the greatest common factor 282,849 is 3.

Lets's calculate LCM of 11,354

Lowest Common Multiple of 11,354 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3894

Therefore, the GCF of Fractions 282/11,849/354 is 3/3894

Least Common Multiple of 11,354 with GCF Formula

Least Common Multiple of 11,354 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 11,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,354) = 1

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

GCF(11,354) x common factors =1 x 1 = 1

LCM(11,354) = ( 11 × 354 ) / 1

LCM(11,354) = 3894 / 1

LCM(11,354) = 3894


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 282/11, 849/354

1. What is the HCF of 282,849?

The HCF of 282,849 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 282/11, 849/354?

Answer: GCF of Numerators as per given numbers 282/11, 849/354 is

GCF of Numerators i.e. for 282,849 is 3

LCM of denominators i.e. for 11,354 is 3894.

Thus, GCF of Fractions is 3/3894.Finally, GCF of Fractions for 282/11, 849/354 is 3/3894.