GCD of 690, 476, 343, 990 Calculator

Given Input numbers are 690, 476, 343, 990

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (690, 476, 343, 990) = 1.

Given numbers are 690, 476, 343, 990

The list of prime factors of all numbers are

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

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 343 are 7 x 7 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 690, 476, 343, 990

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

Apply this formula for all numbers.

Step1:

LCM(690, 476) = 164220

GCD(690, 476) = ( 690 x 476 ) / 164220

= 690 / 476

= 690

Step2:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 690, 476, 343, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 736, 180, 733
• GCD of 385, 700, 695, 130
• GCD of 603, 502, 390, 937
• GCD of 970, 712, 855, 861
• GCD of 515, 657, 966, 773

Given numbers are 690, 476, 343, 990
The greatest common divisor of numbers 690, 476, 343, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 476, 343, 990 is 1.

1. What is the GCD of 690, 476, 343, 990?

GCD of given numbers 690, 476, 343, 990 is 1

2. How to calculate the greatest common divisor of 690, 476, 343, 990?

We can find the highest common divisor of 690, 476, 343, 990 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, 476, 343, 990 i.e 1.

3. How can I use the GCD of 690, 476, 343, 990Calculator?

Out the numbers 690, 476, 343, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.