How to Find GCF of 8263/468, 6313/5616?

GCF of 8263/468, 6313/5616

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 8263/468, 6313/5616 i.e 1/5616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8263/468, 6313/5616.

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 8263/468,6313/5616?

Given fractions are 8263/468,6313/5616

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 8263/468,6313/5616, numerators are 8263,6313

Denominators are 468,5616

The GCF of 8263,6313 is 1 .

LCM of 468,5616 is 5616.

The greatest common factor of 8263/468,6313/5616 = [GCF of 8263,6313]/[LCM of 468,5616]= 1/5616

Therefore, the GCF of 8263/468,6313/5616 is 1/5616.

Greatest Common Factor of 8263,6313

To find the highest common factor of 8263,6313, we have to find the factors of both numbers and list the highest common factor.

The factors of 8263 are 1, 8263

The factors of 6313 are 1, 59, 107, 6313

The HCF of 8263,6313 is 1.

Lets's calculate GCF of 8263,6313

Greatest Common Factor (GCF) of 8263,6313 By Common Division

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

Greatest Common Factor of 8263,6313 By Matching Biggest Common Factor Method

Now, list down the factors of 8263

1,8263

Now, list down the factors of 6313

1,59,107,6313

Greatest Common Factor

We found the factors 8263,6313 . The biggest common factor number is the GCF number.
So the greatest common factor 8263,6313 is 1.

Lets's calculate LCM of 468,5616

Lowest Common Multiple of 468,5616 using Common Division

2	468, 5616
2	234, 2808
3	117, 1404
3	39, 468
13	13, 156
	1, 12

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 1 x 12 = 5616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5616

Therefore, the GCF of Fractions 8263/468,6313/5616 is 1/5616

Least Common Multiple of 468,5616 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 468,5616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,5616) = 468

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

GCF(468,5616) x common factors =468 x 1 = 468

LCM(468,5616) = ( 468 × 5616 ) / 468

LCM(468,5616) = 2628288 / 468

LCM(468,5616) = 5616

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FAQs on GCF of Fractions of 8263/468, 6313/5616

1. What is the HCF of 8263,6313?

The HCF of 8263,6313 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 8263/468, 6313/5616?

Answer: GCF of Numerators as per given numbers 8263/468, 6313/5616 is

GCF of Numerators i.e. for 8263,6313 is 1

LCM of denominators i.e. for 468,5616 is 5616.

Thus, GCF of Fractions is 1/5616.Finally, GCF of Fractions for 8263/468, 6313/5616 is 1/5616.