GCD of 105, 762, 867, 604 Calculator

Given Input numbers are 105, 762, 867, 604

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (105, 762, 867, 604) = 1.

Given numbers are 105, 762, 867, 604

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 762 are 2 x 3 x 127

Prime factors of 867 are 3 x 17 x 17

Prime factors of 604 are 2 x 2 x 151

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

Given numbers are 105, 762, 867, 604

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

Apply this formula for all numbers.

Step1:

LCM(105, 762) = 26670

GCD(105, 762) = ( 105 x 762 ) / 26670

= 105 / 762

= 105

Step2:

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

= 3 / 867

= 3

Step3:

LCM(3, 604) = 1812

GCD(3, 604) = ( 3 x 604 ) / 1812

= 3 / 604

= 3

So, Greatest Common Divisor of 105, 762, 867, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 406, 390, 733
• GCD of 173, 461, 625, 695
• GCD of 792, 382, 375, 586
• GCD of 181, 135, 830, 178
• GCD of 724, 360, 376, 831

Given numbers are 105, 762, 867, 604
The greatest common divisor of numbers 105, 762, 867, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 762, 867, 604 is 1.

1. What is the GCD of 105, 762, 867, 604?

GCD of given numbers 105, 762, 867, 604 is 1

2. How to calculate the greatest common divisor of 105, 762, 867, 604?

We can find the highest common divisor of 105, 762, 867, 604 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 105, 762, 867, 604 i.e 1.

3. How can I use the GCD of 105, 762, 867, 604Calculator?

Out the numbers 105, 762, 867, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.