How to Find GCF of 9074/204, 1771/6745?

GCF of 9074/204, 1771/6745

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 9074/204, 1771/6745 i.e 1/1375980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9074/204, 1771/6745.

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 9074/204,1771/6745?

Given fractions are 9074/204,1771/6745

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 9074/204,1771/6745, numerators are 9074,1771

Denominators are 204,6745

The GCF of 9074,1771 is 1 .

LCM of 204,6745 is 1375980.

The greatest common factor of 9074/204,1771/6745 = [GCF of 9074,1771]/[LCM of 204,6745]= 1/1375980

Therefore, the GCF of 9074/204,1771/6745 is 1/1375980.

Greatest Common Factor of 9074,1771

To find the highest common factor of 9074,1771, we have to find the factors of both numbers and list the highest common factor.

The factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074

The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771

The HCF of 9074,1771 is 1.

Lets's calculate GCF of 9074,1771

Greatest Common Factor (GCF) of 9074,1771 By Common Division

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

Greatest Common Factor of 9074,1771 By Matching Biggest Common Factor Method

Now, list down the factors of 9074

1,2,13,26,349,698,4537,9074

Now, list down the factors of 1771

1,7,11,23,77,161,253,1771

Greatest Common Factor

We found the factors 9074,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,1771 is 1.

Lets's calculate LCM of 204,6745

Lowest Common Multiple of 204,6745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1375980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375980

Therefore, the GCF of Fractions 9074/204,1771/6745 is 1/1375980

Least Common Multiple of 204,6745 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 204,6745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,6745) = 1

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

GCF(204,6745) x common factors =1 x 1 = 1

LCM(204,6745) = ( 204 × 6745 ) / 1

LCM(204,6745) = 1375980 / 1

LCM(204,6745) = 1375980

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9074/204, 1771/6745

1. What is the HCF of 9074,1771?

The HCF of 9074,1771 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 9074/204, 1771/6745?

Answer: GCF of Numerators as per given numbers 9074/204, 1771/6745 is

GCF of Numerators i.e. for 9074,1771 is 1

LCM of denominators i.e. for 204,6745 is 1375980.

Thus, GCF of Fractions is 1/1375980.Finally, GCF of Fractions for 9074/204, 1771/6745 is 1/1375980.