How to Find GCF of 5169/849, 8569/6530?

GCF of 5169/849, 8569/6530

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 5169/849, 8569/6530 i.e 1/5543970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5169/849, 8569/6530.

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 5169/849,8569/6530?

Given fractions are 5169/849,8569/6530

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 5169/849,8569/6530, numerators are 5169,8569

Denominators are 849,6530

The GCF of 5169,8569 is 1 .

LCM of 849,6530 is 5543970.

The greatest common factor of 5169/849,8569/6530 = [GCF of 5169,8569]/[LCM of 849,6530]= 1/5543970

Therefore, the GCF of 5169/849,8569/6530 is 1/5543970.

Greatest Common Factor of 5169,8569

To find the highest common factor of 5169,8569, we have to find the factors of both numbers and list the highest common factor.

The factors of 5169 are 1, 3, 1723, 5169

The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569

The HCF of 5169,8569 is 1.

Lets's calculate GCF of 5169,8569

Greatest Common Factor (GCF) of 5169,8569 By Common Division

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

Greatest Common Factor of 5169,8569 By Matching Biggest Common Factor Method

Now, list down the factors of 5169

1,3,1723,5169

Now, list down the factors of 8569

1,11,19,41,209,451,779,8569

Greatest Common Factor

We found the factors 5169,8569 . The biggest common factor number is the GCF number.
So the greatest common factor 5169,8569 is 1.

Lets's calculate LCM of 849,6530

Lowest Common Multiple of 849,6530 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5543970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5543970

Therefore, the GCF of Fractions 5169/849,8569/6530 is 1/5543970

Least Common Multiple of 849,6530 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 849,6530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,6530) = 1

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

GCF(849,6530) x common factors =1 x 1 = 1

LCM(849,6530) = ( 849 × 6530 ) / 1

LCM(849,6530) = 5543970 / 1

LCM(849,6530) = 5543970

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5169/849, 8569/6530

1. What is the HCF of 5169,8569?

The HCF of 5169,8569 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 5169/849, 8569/6530?

Answer: GCF of Numerators as per given numbers 5169/849, 8569/6530 is

GCF of Numerators i.e. for 5169,8569 is 1

LCM of denominators i.e. for 849,6530 is 5543970.

Thus, GCF of Fractions is 1/5543970.Finally, GCF of Fractions for 5169/849, 8569/6530 is 1/5543970.