How to Find GCF of 3299/866, 7362/3505?

GCF of 3299/866, 7362/3505

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 3299/866, 7362/3505 i.e 1/3035330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3299/866, 7362/3505.

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 3299/866,7362/3505?

Given fractions are 3299/866,7362/3505

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 3299/866,7362/3505, numerators are 3299,7362

Denominators are 866,3505

The GCF of 3299,7362 is 1 .

LCM of 866,3505 is 3035330.

The greatest common factor of 3299/866,7362/3505 = [GCF of 3299,7362]/[LCM of 866,3505]= 1/3035330

Therefore, the GCF of 3299/866,7362/3505 is 1/3035330.

Greatest Common Factor of 3299,7362

To find the highest common factor of 3299,7362, we have to find the factors of both numbers and list the highest common factor.

The factors of 3299 are 1, 3299

The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362

The HCF of 3299,7362 is 1.

Lets's calculate GCF of 3299,7362

Greatest Common Factor (GCF) of 3299,7362 By Common Division

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

Greatest Common Factor of 3299,7362 By Matching Biggest Common Factor Method

Now, list down the factors of 3299

1,3299

Now, list down the factors of 7362

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Greatest Common Factor

We found the factors 3299,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 3299,7362 is 1.

Lets's calculate LCM of 866,3505

Lowest Common Multiple of 866,3505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3035330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3035330

Therefore, the GCF of Fractions 3299/866,7362/3505 is 1/3035330

Least Common Multiple of 866,3505 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 866,3505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,3505) = 1

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

GCF(866,3505) x common factors =1 x 1 = 1

LCM(866,3505) = ( 866 × 3505 ) / 1

LCM(866,3505) = 3035330 / 1

LCM(866,3505) = 3035330

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3299/866, 7362/3505

1. What is the HCF of 3299,7362?

The HCF of 3299,7362 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 3299/866, 7362/3505?

Answer: GCF of Numerators as per given numbers 3299/866, 7362/3505 is

GCF of Numerators i.e. for 3299,7362 is 1

LCM of denominators i.e. for 866,3505 is 3035330.

Thus, GCF of Fractions is 1/3035330.Finally, GCF of Fractions for 3299/866, 7362/3505 is 1/3035330.