How to Find GCF of 9105/647, 2933/2739?

GCF of 9105/647, 2933/2739

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 9105/647, 2933/2739 i.e 1/1772133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9105/647, 2933/2739.

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 9105/647,2933/2739?

Given fractions are 9105/647,2933/2739

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 9105/647,2933/2739, numerators are 9105,2933

Denominators are 647,2739

The GCF of 9105,2933 is 1 .

LCM of 647,2739 is 1772133.

The greatest common factor of 9105/647,2933/2739 = [GCF of 9105,2933]/[LCM of 647,2739]= 1/1772133

Therefore, the GCF of 9105/647,2933/2739 is 1/1772133.

Greatest Common Factor of 9105,2933

To find the highest common factor of 9105,2933, we have to find the factors of both numbers and list the highest common factor.

The factors of 9105 are 1, 3, 5, 15, 607, 1821, 3035, 9105

The factors of 2933 are 1, 7, 419, 2933

The HCF of 9105,2933 is 1.

Lets's calculate GCF of 9105,2933

Greatest Common Factor (GCF) of 9105,2933 By Common Division

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

Greatest Common Factor of 9105,2933 By Matching Biggest Common Factor Method

Now, list down the factors of 9105

1,3,5,15,607,1821,3035,9105

Now, list down the factors of 2933

1,7,419,2933

Greatest Common Factor

We found the factors 9105,2933 . The biggest common factor number is the GCF number.
So the greatest common factor 9105,2933 is 1.

Lets's calculate LCM of 647,2739

Lowest Common Multiple of 647,2739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1772133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1772133

Therefore, the GCF of Fractions 9105/647,2933/2739 is 1/1772133

Least Common Multiple of 647,2739 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 647,2739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,2739) = 1

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

GCF(647,2739) x common factors =1 x 1 = 1

LCM(647,2739) = ( 647 × 2739 ) / 1

LCM(647,2739) = 1772133 / 1

LCM(647,2739) = 1772133

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9105/647, 2933/2739

1. What is the HCF of 9105,2933?

The HCF of 9105,2933 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 9105/647, 2933/2739?

Answer: GCF of Numerators as per given numbers 9105/647, 2933/2739 is

GCF of Numerators i.e. for 9105,2933 is 1

LCM of denominators i.e. for 647,2739 is 1772133.

Thus, GCF of Fractions is 1/1772133.Finally, GCF of Fractions for 9105/647, 2933/2739 is 1/1772133.