GCD of 705, 331, 735, 690 Calculator

Given Input numbers are 705, 331, 735, 690

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (705, 331, 735, 690) = 1.

Given numbers are 705, 331, 735, 690

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 331 are 331

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

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 705, 331, 735, 690

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

Apply this formula for all numbers.

Step1:

LCM(705, 331) = 233355

GCD(705, 331) = ( 705 x 331 ) / 233355

= 705 / 331

= 705

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 705, 331, 735, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 860, 434, 752
• GCD of 565, 759, 857, 516
• GCD of 503, 277, 949, 614
• GCD of 592, 930, 456, 663
• GCD of 453, 386, 794, 835

Given numbers are 705, 331, 735, 690
The greatest common divisor of numbers 705, 331, 735, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 331, 735, 690 is 1.

1. What is the GCD of 705, 331, 735, 690?

GCD of given numbers 705, 331, 735, 690 is 1

2. How to calculate the greatest common divisor of 705, 331, 735, 690?

We can find the highest common divisor of 705, 331, 735, 690 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 705, 331, 735, 690 i.e 1.

3. How can I use the GCD of 705, 331, 735, 690Calculator?

Out the numbers 705, 331, 735, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.