How to Find GCF of 3482/802, 2669/9261?

GCF of 3482/802, 2669/9261

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 3482/802, 2669/9261 i.e 1/7427322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3482/802, 2669/9261.

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 3482/802,2669/9261?

Given fractions are 3482/802,2669/9261

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 3482/802,2669/9261, numerators are 3482,2669

Denominators are 802,9261

The GCF of 3482,2669 is 1 .

LCM of 802,9261 is 7427322.

The greatest common factor of 3482/802,2669/9261 = [GCF of 3482,2669]/[LCM of 802,9261]= 1/7427322

Therefore, the GCF of 3482/802,2669/9261 is 1/7427322.

Greatest Common Factor of 3482,2669

To find the highest common factor of 3482,2669, we have to find the factors of both numbers and list the highest common factor.

The factors of 3482 are 1, 2, 1741, 3482

The factors of 2669 are 1, 17, 157, 2669

The HCF of 3482,2669 is 1.

Lets's calculate GCF of 3482,2669

Greatest Common Factor (GCF) of 3482,2669 By Common Division

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

Greatest Common Factor of 3482,2669 By Matching Biggest Common Factor Method

Now, list down the factors of 3482

1,2,1741,3482

Now, list down the factors of 2669

1,17,157,2669

Greatest Common Factor

We found the factors 3482,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 3482,2669 is 1.

Lets's calculate LCM of 802,9261

Lowest Common Multiple of 802,9261 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7427322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7427322

Therefore, the GCF of Fractions 3482/802,2669/9261 is 1/7427322

Least Common Multiple of 802,9261 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 802,9261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,9261) = 1

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

GCF(802,9261) x common factors =1 x 1 = 1

LCM(802,9261) = ( 802 × 9261 ) / 1

LCM(802,9261) = 7427322 / 1

LCM(802,9261) = 7427322

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3482/802, 2669/9261

1. What is the HCF of 3482,2669?

The HCF of 3482,2669 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 3482/802, 2669/9261?

Answer: GCF of Numerators as per given numbers 3482/802, 2669/9261 is

GCF of Numerators i.e. for 3482,2669 is 1

LCM of denominators i.e. for 802,9261 is 7427322.

Thus, GCF of Fractions is 1/7427322.Finally, GCF of Fractions for 3482/802, 2669/9261 is 1/7427322.