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GCF of 8069/467, 2253/6016

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 8069/467, 2253/6016 i.e 1/2809472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8069/467, 2253/6016.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8069/467,2253/6016?

Given fractions are 8069/467,2253/6016

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 8069/467,2253/6016, numerators are 8069,2253

Denominators are 467,6016

The GCF of 8069,2253 is 1 .

LCM of 467,6016 is 2809472.

The greatest common factor of 8069/467,2253/6016 = [GCF of 8069,2253]/[LCM of 467,6016]= 1/2809472

Therefore, the GCF of 8069/467,2253/6016 is 1/2809472.

Greatest Common Factor of 8069,2253

To find the highest common factor of 8069,2253, we have to find the factors of both numbers and list the highest common factor.

The factors of 8069 are 1, 8069

The factors of 2253 are 1, 3, 751, 2253

The HCF of 8069,2253 is 1.

Lets's calculate GCF of 8069,2253

Greatest Common Factor (GCF) of 8069,2253 By Common Division

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

Greatest Common Factor of 8069,2253 By Matching Biggest Common Factor Method

Greatest Common Factor of 8069,2253 By Matching Biggest Common Factor Method

Now, list down the factors of 8069

:

1,8069

Now, list down the factors of 2253

:

1,3,751,2253

Greatest Common Factor

We found the factors 8069,2253 . The biggest common factor number is the GCF number.
So the greatest common factor 8069,2253 is 1.


Lets's calculate LCM of 467,6016

Lowest Common Multiple of 467,6016 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2809472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2809472

Therefore, the GCF of Fractions 8069/467,2253/6016 is 1/2809472

Least Common Multiple of 467,6016 with GCF Formula

Least Common Multiple of 467,6016 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 467,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,6016) = 1

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

GCF(467,6016) x common factors =1 x 1 = 1

LCM(467,6016) = ( 467 × 6016 ) / 1

LCM(467,6016) = 2809472 / 1

LCM(467,6016) = 2809472


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8069/467, 2253/6016

1. What is the HCF of 8069,2253?

The HCF of 8069,2253 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 8069/467, 2253/6016?

Answer: GCF of Numerators as per given numbers 8069/467, 2253/6016 is

GCF of Numerators i.e. for 8069,2253 is 1

LCM of denominators i.e. for 467,6016 is 2809472.

Thus, GCF of Fractions is 1/2809472.Finally, GCF of Fractions for 8069/467, 2253/6016 is 1/2809472.