How to Find GCF of 6053/800, 9062/8064?

GCF of 6053/800, 9062/8064

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 6053/800, 9062/8064 i.e 1/201600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6053/800, 9062/8064.

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 6053/800,9062/8064?

Given fractions are 6053/800,9062/8064

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 6053/800,9062/8064, numerators are 6053,9062

Denominators are 800,8064

The GCF of 6053,9062 is 1 .

LCM of 800,8064 is 201600.

The greatest common factor of 6053/800,9062/8064 = [GCF of 6053,9062]/[LCM of 800,8064]= 1/201600

Therefore, the GCF of 6053/800,9062/8064 is 1/201600.

Greatest Common Factor of 6053,9062

To find the highest common factor of 6053,9062, we have to find the factors of both numbers and list the highest common factor.

The factors of 6053 are 1, 6053

The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062

The HCF of 6053,9062 is 1.

Lets's calculate GCF of 6053,9062

Greatest Common Factor (GCF) of 6053,9062 By Common Division

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

Greatest Common Factor of 6053,9062 By Matching Biggest Common Factor Method

Now, list down the factors of 6053

1,6053

Now, list down the factors of 9062

1,2,23,46,197,394,4531,9062

Greatest Common Factor

We found the factors 6053,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 6053,9062 is 1.

Lets's calculate LCM of 800,8064

Lowest Common Multiple of 800,8064 using Common Division

2	800, 8064
2	400, 4032
2	200, 2016
2	100, 1008
2	50, 504
	25, 252

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 25 x 252 = 201600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201600

Therefore, the GCF of Fractions 6053/800,9062/8064 is 1/201600

Least Common Multiple of 800,8064 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 800,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,8064) = 32

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

GCF(800,8064) x common factors =32 x 1 = 32

LCM(800,8064) = ( 800 × 8064 ) / 32

LCM(800,8064) = 6451200 / 32

LCM(800,8064) = 201600

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FAQs on GCF of Fractions of 6053/800, 9062/8064

1. What is the HCF of 6053,9062?

The HCF of 6053,9062 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 6053/800, 9062/8064?

Answer: GCF of Numerators as per given numbers 6053/800, 9062/8064 is

GCF of Numerators i.e. for 6053,9062 is 1

LCM of denominators i.e. for 800,8064 is 201600.

Thus, GCF of Fractions is 1/201600.Finally, GCF of Fractions for 6053/800, 9062/8064 is 1/201600.