LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 689/67, 247/809

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 689/67, 247/809 i.e 13/54203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 689/67, 247/809.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 689/67,247/809?

Given fractions are 689/67,247/809

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 689/67,247/809, numerators are 689,247

Denominators are 67,809

The GCF of 689,247 is 13 .

LCM of 67,809 is 54203.

The greatest common factor of 689/67,247/809 = [GCF of 689,247]/[LCM of 67,809]= 13/54203

Therefore, the GCF of 689/67,247/809 is 13/54203.

Greatest Common Factor of 689,247

To find the highest common factor of 689,247, we have to find the factors of both numbers and list the highest common factor.

The factors of 689 are 1, 13, 53, 689

The factors of 247 are 1, 13, 19, 247

The HCF of 689,247 is 13.

Lets's calculate GCF of 689,247

Greatest Common Factor (GCF) of 689,247 By Common Division

13 689, 247
53, 19

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 689,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,247 By Matching Biggest Common Factor Method

Now, list down the factors of 689

:

1,13,53,689

Now, list down the factors of 247

:

1,13,19,247

Greatest Common Factor

We found the factors 689,247 . The biggest common factor number is the GCF number.
So the greatest common factor 689,247 is 13.

Lets's calculate LCM of 67,809

Lowest Common Multiple of 67,809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/54203

Therefore, the GCF of Fractions 689/67,247/809 is 13/54203

Least Common Multiple of 67,809 with GCF Formula

Least Common Multiple of 67,809 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 67,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,809) = 1

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

GCF(67,809) x common factors =1 x 1 = 1

LCM(67,809) = ( 67 × 809 ) / 1

LCM(67,809) = 54203 / 1

LCM(67,809) = 54203


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 689/67, 247/809

1. What is the HCF of 689,247?

The HCF of 689,247 is 13

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 689/67, 247/809?

Answer: GCF of Numerators as per given numbers 689/67, 247/809 is

GCF of Numerators i.e. for 689,247 is 13

LCM of denominators i.e. for 67,809 is 54203.

Thus, GCF of Fractions is 13/54203.Finally, GCF of Fractions for 689/67, 247/809 is 13/54203.