GCD of 342, 765, 460, 734 Calculator

Given Input numbers are 342, 765, 460, 734

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (342, 765, 460, 734) = 1.

Given numbers are 342, 765, 460, 734

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 734 are 2 x 367

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

Given numbers are 342, 765, 460, 734

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

Apply this formula for all numbers.

Step1:

LCM(342, 765) = 29070

GCD(342, 765) = ( 342 x 765 ) / 29070

= 342 / 765

= 342

Step2:

LCM(9, 460) = 4140

GCD(9, 460) = ( 9 x 460 ) / 4140

= 9 / 460

= 9

Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1

So, Greatest Common Divisor of 342, 765, 460, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 756, 557, 113
• GCD of 319, 794, 492, 837
• GCD of 671, 137, 757, 292
• GCD of 227, 654, 379, 189
• GCD of 534, 601, 876, 119

Given numbers are 342, 765, 460, 734
The greatest common divisor of numbers 342, 765, 460, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 765, 460, 734 is 1.

1. What is the GCD of 342, 765, 460, 734?

GCD of given numbers 342, 765, 460, 734 is 1

2. How to calculate the greatest common divisor of 342, 765, 460, 734?

We can find the highest common divisor of 342, 765, 460, 734 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 342, 765, 460, 734 i.e 1.

3. How can I use the GCD of 342, 765, 460, 734Calculator?

Out the numbers 342, 765, 460, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.