How to Find GCF of 8045/900, 2221/749?

GCF of 8045/900, 2221/749

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 8045/900, 2221/749 i.e 1/674100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8045/900, 2221/749.

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 8045/900,2221/749?

Given fractions are 8045/900,2221/749

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 8045/900,2221/749, numerators are 8045,2221

Denominators are 900,749

The GCF of 8045,2221 is 1 .

LCM of 900,749 is 674100.

The greatest common factor of 8045/900,2221/749 = [GCF of 8045,2221]/[LCM of 900,749]= 1/674100

Therefore, the GCF of 8045/900,2221/749 is 1/674100.

Greatest Common Factor of 8045,2221

To find the highest common factor of 8045,2221, we have to find the factors of both numbers and list the highest common factor.

The factors of 8045 are 1, 5, 1609, 8045

The factors of 2221 are 1, 2221

The HCF of 8045,2221 is 1.

Lets's calculate GCF of 8045,2221

Greatest Common Factor (GCF) of 8045,2221 By Common Division

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

Greatest Common Factor of 8045,2221 By Matching Biggest Common Factor Method

Now, list down the factors of 8045

1,5,1609,8045

Now, list down the factors of 2221

1,2221

Greatest Common Factor

We found the factors 8045,2221 . The biggest common factor number is the GCF number.
So the greatest common factor 8045,2221 is 1.

Lets's calculate LCM of 900,749

Lowest Common Multiple of 900,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 674100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674100

Therefore, the GCF of Fractions 8045/900,2221/749 is 1/674100

Least Common Multiple of 900,749 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 900,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,749) = 1

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

GCF(900,749) x common factors =1 x 1 = 1

LCM(900,749) = ( 900 × 749 ) / 1

LCM(900,749) = 674100 / 1

LCM(900,749) = 674100

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FAQs on GCF of Fractions of 8045/900, 2221/749

1. What is the HCF of 8045,2221?

The HCF of 8045,2221 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 8045/900, 2221/749?

Answer: GCF of Numerators as per given numbers 8045/900, 2221/749 is

GCF of Numerators i.e. for 8045,2221 is 1

LCM of denominators i.e. for 900,749 is 674100.

Thus, GCF of Fractions is 1/674100.Finally, GCF of Fractions for 8045/900, 2221/749 is 1/674100.