How to Find GCF of 6473/814, 6265/5664?

GCF of 6473/814, 6265/5664

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 6473/814, 6265/5664 i.e 1/2305248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6473/814, 6265/5664.

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 6473/814,6265/5664?

Given fractions are 6473/814,6265/5664

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 6473/814,6265/5664, numerators are 6473,6265

Denominators are 814,5664

The GCF of 6473,6265 is 1 .

LCM of 814,5664 is 2305248.

The greatest common factor of 6473/814,6265/5664 = [GCF of 6473,6265]/[LCM of 814,5664]= 1/2305248

Therefore, the GCF of 6473/814,6265/5664 is 1/2305248.

Greatest Common Factor of 6473,6265

To find the highest common factor of 6473,6265, we have to find the factors of both numbers and list the highest common factor.

The factors of 6473 are 1, 6473

The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265

The HCF of 6473,6265 is 1.

Lets's calculate GCF of 6473,6265

Greatest Common Factor (GCF) of 6473,6265 By Common Division

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

Greatest Common Factor of 6473,6265 By Matching Biggest Common Factor Method

Now, list down the factors of 6473

1,6473

Now, list down the factors of 6265

1,5,7,35,179,895,1253,6265

Greatest Common Factor

We found the factors 6473,6265 . The biggest common factor number is the GCF number.
So the greatest common factor 6473,6265 is 1.

Lets's calculate LCM of 814,5664

Lowest Common Multiple of 814,5664 using Common Division

2	814, 5664
	407, 2832

∴ So the LCM of the given numbers is 2 x 407 x 2832 = 2305248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2305248

Therefore, the GCF of Fractions 6473/814,6265/5664 is 1/2305248

Least Common Multiple of 814,5664 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 814,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,5664) = 2

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

GCF(814,5664) x common factors =2 x 1 = 2

LCM(814,5664) = ( 814 × 5664 ) / 2

LCM(814,5664) = 4610496 / 2

LCM(814,5664) = 2305248

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FAQs on GCF of Fractions of 6473/814, 6265/5664

1. What is the HCF of 6473,6265?

The HCF of 6473,6265 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 6473/814, 6265/5664?

Answer: GCF of Numerators as per given numbers 6473/814, 6265/5664 is

GCF of Numerators i.e. for 6473,6265 is 1

LCM of denominators i.e. for 814,5664 is 2305248.

Thus, GCF of Fractions is 1/2305248.Finally, GCF of Fractions for 6473/814, 6265/5664 is 1/2305248.