GCD of 690, 550, 105, 462 Calculator

Given Input numbers are 690, 550, 105, 462

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

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 105 :

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

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (690, 550, 105, 462) = 1.

Given numbers are 690, 550, 105, 462

The list of prime factors of all numbers are

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

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 105 are 3 x 5 x 7

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 690, 550, 105, 462

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

Apply this formula for all numbers.

Step1:

LCM(690, 550) = 37950

GCD(690, 550) = ( 690 x 550 ) / 37950

= 690 / 550

= 690

Step2:

LCM(10, 105) = 210

GCD(10, 105) = ( 10 x 105 ) / 210

= 10 / 105

= 10

Step3:

LCM(5, 462) = 2310

GCD(5, 462) = ( 5 x 462 ) / 2310

= 5 / 462

= 5

So, Greatest Common Divisor of 690, 550, 105, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 792, 882, 769
• GCD of 195, 796, 164, 487
• GCD of 412, 858, 391, 815
• GCD of 991, 387, 453, 105
• GCD of 336, 263, 337, 888

Given numbers are 690, 550, 105, 462
The greatest common divisor of numbers 690, 550, 105, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 550, 105, 462 is 1.

1. What is the GCD of 690, 550, 105, 462?

GCD of given numbers 690, 550, 105, 462 is 1

2. How to calculate the greatest common divisor of 690, 550, 105, 462?

We can find the highest common divisor of 690, 550, 105, 462 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 690, 550, 105, 462 i.e 1.

3. How can I use the GCD of 690, 550, 105, 462Calculator?

Out the numbers 690, 550, 105, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.