GCD of 700, 785, 596, 342 Calculator

Given Input numbers are 700, 785, 596, 342

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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

GCD of numbers is the greatest common divisor

So, the GCD (700, 785, 596, 342) = 1.

Given numbers are 700, 785, 596, 342

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 785 are 5 x 157

Prime factors of 596 are 2 x 2 x 149

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

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

Given numbers are 700, 785, 596, 342

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

Apply this formula for all numbers.

Step1:

LCM(700, 785) = 109900

GCD(700, 785) = ( 700 x 785 ) / 109900

= 700 / 785

= 700

Step2:

LCM(5, 596) = 2980

GCD(5, 596) = ( 5 x 596 ) / 2980

= 5 / 596

= 5

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 700, 785, 596, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 278, 701, 752
• GCD of 678, 998, 492, 366
• GCD of 454, 233, 127, 703
• GCD of 374, 320, 788, 680
• GCD of 619, 422, 162, 963

Given numbers are 700, 785, 596, 342
The greatest common divisor of numbers 700, 785, 596, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 785, 596, 342 is 1.

1. What is the GCD of 700, 785, 596, 342?

GCD of given numbers 700, 785, 596, 342 is 1

2. How to calculate the greatest common divisor of 700, 785, 596, 342?

We can find the highest common divisor of 700, 785, 596, 342 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 700, 785, 596, 342 i.e 1.

3. How can I use the GCD of 700, 785, 596, 342Calculator?

Out the numbers 700, 785, 596, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.