How to Find GCF of 5642/506, 6733/6266?

GCF of 5642/506, 6733/6266

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 5642/506, 6733/6266 i.e 1/1585298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5642/506, 6733/6266.

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 5642/506,6733/6266?

Given fractions are 5642/506,6733/6266

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 5642/506,6733/6266, numerators are 5642,6733

Denominators are 506,6266

The GCF of 5642,6733 is 1 .

LCM of 506,6266 is 1585298.

The greatest common factor of 5642/506,6733/6266 = [GCF of 5642,6733]/[LCM of 506,6266]= 1/1585298

Therefore, the GCF of 5642/506,6733/6266 is 1/1585298.

Greatest Common Factor of 5642,6733

To find the highest common factor of 5642,6733, we have to find the factors of both numbers and list the highest common factor.

The factors of 5642 are 1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, 5642

The factors of 6733 are 1, 6733

The HCF of 5642,6733 is 1.

Lets's calculate GCF of 5642,6733

Greatest Common Factor (GCF) of 5642,6733 By Common Division

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

Greatest Common Factor of 5642,6733 By Matching Biggest Common Factor Method

Now, list down the factors of 5642

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Now, list down the factors of 6733

1,6733

Greatest Common Factor

We found the factors 5642,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 5642,6733 is 1.

Lets's calculate LCM of 506,6266

Lowest Common Multiple of 506,6266 using Common Division

2	506, 6266
	253, 3133

∴ So the LCM of the given numbers is 2 x 253 x 3133 = 1585298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1585298

Therefore, the GCF of Fractions 5642/506,6733/6266 is 1/1585298

Least Common Multiple of 506,6266 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 506,6266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,6266) = 2

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

GCF(506,6266) x common factors =2 x 1 = 2

LCM(506,6266) = ( 506 × 6266 ) / 2

LCM(506,6266) = 3170596 / 2

LCM(506,6266) = 1585298

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FAQs on GCF of Fractions of 5642/506, 6733/6266

1. What is the HCF of 5642,6733?

The HCF of 5642,6733 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 5642/506, 6733/6266?

Answer: GCF of Numerators as per given numbers 5642/506, 6733/6266 is

GCF of Numerators i.e. for 5642,6733 is 1

LCM of denominators i.e. for 506,6266 is 1585298.

Thus, GCF of Fractions is 1/1585298.Finally, GCF of Fractions for 5642/506, 6733/6266 is 1/1585298.