How to Find GCF of 3295/296, 9029/7429?

GCF of 3295/296, 9029/7429

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 3295/296, 9029/7429 i.e 1/2198984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3295/296, 9029/7429.

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 3295/296,9029/7429?

Given fractions are 3295/296,9029/7429

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 3295/296,9029/7429, numerators are 3295,9029

Denominators are 296,7429

The GCF of 3295,9029 is 1 .

LCM of 296,7429 is 2198984.

The greatest common factor of 3295/296,9029/7429 = [GCF of 3295,9029]/[LCM of 296,7429]= 1/2198984

Therefore, the GCF of 3295/296,9029/7429 is 1/2198984.

Greatest Common Factor of 3295,9029

To find the highest common factor of 3295,9029, we have to find the factors of both numbers and list the highest common factor.

The factors of 3295 are 1, 5, 659, 3295

The factors of 9029 are 1, 9029

The HCF of 3295,9029 is 1.

Lets's calculate GCF of 3295,9029

Greatest Common Factor (GCF) of 3295,9029 By Common Division

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

Greatest Common Factor of 3295,9029 By Matching Biggest Common Factor Method

Now, list down the factors of 3295

1,5,659,3295

Now, list down the factors of 9029

1,9029

Greatest Common Factor

We found the factors 3295,9029 . The biggest common factor number is the GCF number.
So the greatest common factor 3295,9029 is 1.

Lets's calculate LCM of 296,7429

Lowest Common Multiple of 296,7429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2198984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2198984

Therefore, the GCF of Fractions 3295/296,9029/7429 is 1/2198984

Least Common Multiple of 296,7429 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 296,7429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,7429) = 1

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

GCF(296,7429) x common factors =1 x 1 = 1

LCM(296,7429) = ( 296 × 7429 ) / 1

LCM(296,7429) = 2198984 / 1

LCM(296,7429) = 2198984

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3295/296, 9029/7429

1. What is the HCF of 3295,9029?

The HCF of 3295,9029 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 3295/296, 9029/7429?

Answer: GCF of Numerators as per given numbers 3295/296, 9029/7429 is

GCF of Numerators i.e. for 3295,9029 is 1

LCM of denominators i.e. for 296,7429 is 2198984.

Thus, GCF of Fractions is 1/2198984.Finally, GCF of Fractions for 3295/296, 9029/7429 is 1/2198984.