How to Find GCF of 282/404, 6066/7026?

GCF of 282/404, 6066/7026

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 282/404, 6066/7026 i.e 6/1419252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 282/404, 6066/7026.

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 282/404,6066/7026?

Given fractions are 282/404,6066/7026

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 282/404,6066/7026, numerators are 282,6066

Denominators are 404,7026

The GCF of 282,6066 is 6 .

LCM of 404,7026 is 1419252.

The greatest common factor of 282/404,6066/7026 = [GCF of 282,6066]/[LCM of 404,7026]= 6/1419252

Therefore, the GCF of 282/404,6066/7026 is 6/1419252.

Greatest Common Factor of 282,6066

To find the highest common factor of 282,6066, 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 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

The HCF of 282,6066 is 6.

Lets's calculate GCF of 282,6066

Greatest Common Factor (GCF) of 282,6066 By Common Division

2	282, 6066
3	141, 3033
	47, 1011

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 282,6066 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 6066

1,2,3,6,9,18,337,674,1011,2022,3033,6066

Greatest Common Factor

We found the factors 282,6066 . The biggest common factor number is the GCF number.
So the greatest common factor 282,6066 is 6.

Lets's calculate LCM of 404,7026

Lowest Common Multiple of 404,7026 using Common Division

2	404, 7026
	202, 3513

∴ So the LCM of the given numbers is 2 x 202 x 3513 = 1419252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1419252

Therefore, the GCF of Fractions 282/404,6066/7026 is 6/1419252

Least Common Multiple of 404,7026 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 404,7026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,7026) = 2

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

GCF(404,7026) x common factors =2 x 1 = 2

LCM(404,7026) = ( 404 × 7026 ) / 2

LCM(404,7026) = 2838504 / 2

LCM(404,7026) = 1419252

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FAQs on GCF of Fractions of 282/404, 6066/7026

1. What is the HCF of 282,6066?

The HCF of 282,6066 is 6

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 282/404, 6066/7026?

Answer: GCF of Numerators as per given numbers 282/404, 6066/7026 is

GCF of Numerators i.e. for 282,6066 is 6

LCM of denominators i.e. for 404,7026 is 1419252.

Thus, GCF of Fractions is 6/1419252.Finally, GCF of Fractions for 282/404, 6066/7026 is 6/1419252.