How to Find GCF of 6202/204, 2462/9059?

GCF of 6202/204, 2462/9059

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 6202/204, 2462/9059 i.e 2/1848036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6202/204, 2462/9059.

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 6202/204,2462/9059?

Given fractions are 6202/204,2462/9059

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 6202/204,2462/9059, numerators are 6202,2462

Denominators are 204,9059

The GCF of 6202,2462 is 2 .

LCM of 204,9059 is 1848036.

The greatest common factor of 6202/204,2462/9059 = [GCF of 6202,2462]/[LCM of 204,9059]= 2/1848036

Therefore, the GCF of 6202/204,2462/9059 is 2/1848036.

Greatest Common Factor of 6202,2462

To find the highest common factor of 6202,2462, we have to find the factors of both numbers and list the highest common factor.

The factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202

The factors of 2462 are 1, 2, 1231, 2462

The HCF of 6202,2462 is 2.

Lets's calculate GCF of 6202,2462

Greatest Common Factor (GCF) of 6202,2462 By Common Division

2	6202, 2462
	3101, 1231

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6202,2462 By Matching Biggest Common Factor Method

Now, list down the factors of 6202

1,2,7,14,443,886,3101,6202

Now, list down the factors of 2462

1,2,1231,2462

Greatest Common Factor

We found the factors 6202,2462 . The biggest common factor number is the GCF number.
So the greatest common factor 6202,2462 is 2.

Lets's calculate LCM of 204,9059

Lowest Common Multiple of 204,9059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1848036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1848036

Therefore, the GCF of Fractions 6202/204,2462/9059 is 2/1848036

Least Common Multiple of 204,9059 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 204,9059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,9059) = 1

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

GCF(204,9059) x common factors =1 x 1 = 1

LCM(204,9059) = ( 204 × 9059 ) / 1

LCM(204,9059) = 1848036 / 1

LCM(204,9059) = 1848036

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FAQs on GCF of Fractions of 6202/204, 2462/9059

1. What is the HCF of 6202,2462?

The HCF of 6202,2462 is 2

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 6202/204, 2462/9059?

Answer: GCF of Numerators as per given numbers 6202/204, 2462/9059 is

GCF of Numerators i.e. for 6202,2462 is 2

LCM of denominators i.e. for 204,9059 is 1848036.

Thus, GCF of Fractions is 2/1848036.Finally, GCF of Fractions for 6202/204, 2462/9059 is 2/1848036.