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 835/243, 665/469

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 835/243, 665/469 i.e 5/113967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/243, 665/469.

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 835/243,665/469?

Given fractions are 835/243,665/469

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 835/243,665/469, numerators are 835,665

Denominators are 243,469

The GCF of 835,665 is 5 .

LCM of 243,469 is 113967.

The greatest common factor of 835/243,665/469 = [GCF of 835,665]/[LCM of 243,469]= 5/113967

Therefore, the GCF of 835/243,665/469 is 5/113967.

Greatest Common Factor of 835,665

To find the highest common factor of 835,665, we have to find the factors of both numbers and list the highest common factor.

The factors of 835 are 1, 5, 167, 835

The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665

The HCF of 835,665 is 5.

Lets's calculate GCF of 835,665

Greatest Common Factor (GCF) of 835,665 By Common Division

5 835, 665
167, 133

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 835,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,665 By Matching Biggest Common Factor Method

Now, list down the factors of 835

:

1,5,167,835

Now, list down the factors of 665

:

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 835,665 . The biggest common factor number is the GCF number.
So the greatest common factor 835,665 is 5.

Lets's calculate LCM of 243,469

Lowest Common Multiple of 243,469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 113967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/113967

Therefore, the GCF of Fractions 835/243,665/469 is 5/113967

Least Common Multiple of 243,469 with GCF Formula

Least Common Multiple of 243,469 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 243,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,469) = 1

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

GCF(243,469) x common factors =1 x 1 = 1

LCM(243,469) = ( 243 × 469 ) / 1

LCM(243,469) = 113967 / 1

LCM(243,469) = 113967


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 835/243, 665/469

1. What is the HCF of 835,665?

The HCF of 835,665 is 5

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 835/243, 665/469?

Answer: GCF of Numerators as per given numbers 835/243, 665/469 is

GCF of Numerators i.e. for 835,665 is 5

LCM of denominators i.e. for 243,469 is 113967.

Thus, GCF of Fractions is 5/113967.Finally, GCF of Fractions for 835/243, 665/469 is 5/113967.