GCD of 829, 494, 43, 120 Calculator

Given Input numbers are 829, 494, 43, 120

In the factoring method, we have to find the divisors of all numbers

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 43 :

The positive integer divisors of 43 that completely divides 43 are.

1, 43

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (829, 494, 43, 120) = 1.

Given numbers are 829, 494, 43, 120

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 494 are 2 x 13 x 19

Prime factors of 43 are 43

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 829, 494, 43, 120

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(829, 494) = 409526

GCD(829, 494) = ( 829 x 494 ) / 409526

= 829 / 494

= 829

Step2:

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

= 1 / 43

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 829, 494, 43, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 710, 87, 935
• GCD of 755, 795, 66, 794
• GCD of 868, 753, 37, 338
• GCD of 568, 788, 51, 967
• GCD of 866, 620, 61, 731

Given numbers are 829, 494, 43, 120
The greatest common divisor of numbers 829, 494, 43, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 494, 43, 120 is 1.

1. What is the GCD of 829, 494, 43, 120?

GCD of given numbers 829, 494, 43, 120 is 1

2. How to calculate the greatest common divisor of 829, 494, 43, 120?

We can find the highest common divisor of 829, 494, 43, 120 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 829, 494, 43, 120 i.e 1.

3. How can I use the GCD of 829, 494, 43, 120Calculator?

Out the numbers 829, 494, 43, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.