GCD of 340, 790, 492, 735 Calculator

Given Input numbers are 340, 790, 492, 735

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (340, 790, 492, 735) = 1.

Given numbers are 340, 790, 492, 735

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 790 are 2 x 5 x 79

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 340, 790, 492, 735

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

Apply this formula for all numbers.

Step1:

LCM(340, 790) = 26860

GCD(340, 790) = ( 340 x 790 ) / 26860

= 340 / 790

= 340

Step2:

LCM(10, 492) = 2460

GCD(10, 492) = ( 10 x 492 ) / 2460

= 10 / 492

= 10

Step3:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

So, Greatest Common Divisor of 340, 790, 492, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 495, 526, 919
• GCD of 771, 551, 583, 903
• GCD of 957, 427, 864, 313
• GCD of 611, 520, 530, 886
• GCD of 756, 462, 701, 723

Given numbers are 340, 790, 492, 735
The greatest common divisor of numbers 340, 790, 492, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 790, 492, 735 is 1.

1. What is the GCD of 340, 790, 492, 735?

GCD of given numbers 340, 790, 492, 735 is 1

2. How to calculate the greatest common divisor of 340, 790, 492, 735?

We can find the highest common divisor of 340, 790, 492, 735 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 340, 790, 492, 735 i.e 1.

3. How can I use the GCD of 340, 790, 492, 735Calculator?

Out the numbers 340, 790, 492, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.