How to Find GCF of 2227/643, 9045/7871?

GCF of 2227/643, 9045/7871

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 2227/643, 9045/7871 i.e 1/5061053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2227/643, 9045/7871.

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 2227/643,9045/7871?

Given fractions are 2227/643,9045/7871

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 2227/643,9045/7871, numerators are 2227,9045

Denominators are 643,7871

The GCF of 2227,9045 is 1 .

LCM of 643,7871 is 5061053.

The greatest common factor of 2227/643,9045/7871 = [GCF of 2227,9045]/[LCM of 643,7871]= 1/5061053

Therefore, the GCF of 2227/643,9045/7871 is 1/5061053.

Greatest Common Factor of 2227,9045

To find the highest common factor of 2227,9045, we have to find the factors of both numbers and list the highest common factor.

The factors of 2227 are 1, 17, 131, 2227

The factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045

The HCF of 2227,9045 is 1.

Lets's calculate GCF of 2227,9045

Greatest Common Factor (GCF) of 2227,9045 By Common Division

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

Greatest Common Factor of 2227,9045 By Matching Biggest Common Factor Method

Now, list down the factors of 2227

1,17,131,2227

Now, list down the factors of 9045

1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045

Greatest Common Factor

We found the factors 2227,9045 . The biggest common factor number is the GCF number.
So the greatest common factor 2227,9045 is 1.

Lets's calculate LCM of 643,7871

Lowest Common Multiple of 643,7871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5061053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5061053

Therefore, the GCF of Fractions 2227/643,9045/7871 is 1/5061053

Least Common Multiple of 643,7871 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 643,7871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,7871) = 1

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

GCF(643,7871) x common factors =1 x 1 = 1

LCM(643,7871) = ( 643 × 7871 ) / 1

LCM(643,7871) = 5061053 / 1

LCM(643,7871) = 5061053

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FAQs on GCF of Fractions of 2227/643, 9045/7871

1. What is the HCF of 2227,9045?

The HCF of 2227,9045 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 2227/643, 9045/7871?

Answer: GCF of Numerators as per given numbers 2227/643, 9045/7871 is

GCF of Numerators i.e. for 2227,9045 is 1

LCM of denominators i.e. for 643,7871 is 5061053.

Thus, GCF of Fractions is 1/5061053.Finally, GCF of Fractions for 2227/643, 9045/7871 is 1/5061053.