Greatest Common Factor of 435/419, 823/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/419, 823/661

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 435/419,823/661

Given fractions are 435/419,823/661

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 435,823

Greatest Common Factor of Numerators i.e. GCF of 435,823 is 1 .

LCM of Denominators means LCM of 419,661 as per the given fractions.

LCM of 419,661 is 276959 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,823

GCF of Fractions 435/419,823/661 is 1/276959

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

Greatest Common Factor of 435,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,823 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 435,823 . The biggest common factor number is the GCF number.
So the greatest common factor 435,823 is 1.

Lets's calculate LCM of 419,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 276959

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276959

Therefore, the GCF of Fractions 435/419,823/661 is 1/276959

Least Common Multiple of 419,661 with GCF Formula

Least Common Multiple of 419,661 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 419,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,661) = 1

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

GCF(419,661) x common factors =1 x 1 = 1

LCM(419,661) = ( 419 × 661 ) / 1

LCM(419,661) = 276959 / 1

LCM(419,661) = 276959


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 435/419, 823/661

1. 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.

2. What is the GCF of Fractions for 435/419, 823/661?

Answer: GCF of Numerators as per given numbers 435/419, 823/661 is

GCF of Numerators i.e. for 435,823 is 1

LCM of denominators i.e. for 419,661 is 276959.

Thus, GCF of Fractions is 1/276959.Finally, GCF of Fractions for 435/419, 823/661 is 1/276959.