How to Find GCF of 6602/191, 6302/3205?

GCF of 6602/191, 6302/3205

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 6602/191, 6302/3205 i.e 2/612155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6602/191, 6302/3205.

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 6602/191,6302/3205?

Given fractions are 6602/191,6302/3205

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 6602/191,6302/3205, numerators are 6602,6302

Denominators are 191,3205

The GCF of 6602,6302 is 2 .

LCM of 191,3205 is 612155.

The greatest common factor of 6602/191,6302/3205 = [GCF of 6602,6302]/[LCM of 191,3205]= 2/612155

Therefore, the GCF of 6602/191,6302/3205 is 2/612155.

Greatest Common Factor of 6602,6302

To find the highest common factor of 6602,6302, we have to find the factors of both numbers and list the highest common factor.

The factors of 6602 are 1, 2, 3301, 6602

The factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302

The HCF of 6602,6302 is 2.

Lets's calculate GCF of 6602,6302

Greatest Common Factor (GCF) of 6602,6302 By Common Division

2	6602, 6302
	3301, 3151

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6602,6302 By Matching Biggest Common Factor Method

Now, list down the factors of 6602

1,2,3301,6602

Now, list down the factors of 6302

1,2,23,46,137,274,3151,6302

Greatest Common Factor

We found the factors 6602,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 6602,6302 is 2.

Lets's calculate LCM of 191,3205

Lowest Common Multiple of 191,3205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 612155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/612155

Therefore, the GCF of Fractions 6602/191,6302/3205 is 2/612155

Least Common Multiple of 191,3205 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 191,3205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,3205) = 1

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

GCF(191,3205) x common factors =1 x 1 = 1

LCM(191,3205) = ( 191 × 3205 ) / 1

LCM(191,3205) = 612155 / 1

LCM(191,3205) = 612155

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6602/191, 6302/3205

1. What is the HCF of 6602,6302?

The HCF of 6602,6302 is 2

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 6602/191, 6302/3205?

Answer: GCF of Numerators as per given numbers 6602/191, 6302/3205 is

GCF of Numerators i.e. for 6602,6302 is 2

LCM of denominators i.e. for 191,3205 is 612155.

Thus, GCF of Fractions is 2/612155.Finally, GCF of Fractions for 6602/191, 6302/3205 is 2/612155.