GCD of 690, 123, 402, 496 Calculator

Given Input numbers are 690, 123, 402, 496

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (690, 123, 402, 496) = 1.

Given numbers are 690, 123, 402, 496

The list of prime factors of all numbers are

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

Prime factors of 123 are 3 x 41

Prime factors of 402 are 2 x 3 x 67

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 690, 123, 402, 496

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

Apply this formula for all numbers.

Step1:

LCM(690, 123) = 28290

GCD(690, 123) = ( 690 x 123 ) / 28290

= 690 / 123

= 690

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

Step3:

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

= 3 / 496

= 3

So, Greatest Common Divisor of 690, 123, 402, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 993, 254, 270
• GCD of 237, 755, 703, 463
• GCD of 143, 617, 183, 866
• GCD of 871, 264, 491, 689
• GCD of 652, 959, 464, 803

Given numbers are 690, 123, 402, 496
The greatest common divisor of numbers 690, 123, 402, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 123, 402, 496 is 1.

1. What is the GCD of 690, 123, 402, 496?

GCD of given numbers 690, 123, 402, 496 is 1

2. How to calculate the greatest common divisor of 690, 123, 402, 496?

We can find the highest common divisor of 690, 123, 402, 496 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, 123, 402, 496 i.e 1.

3. How can I use the GCD of 690, 123, 402, 496Calculator?

Out the numbers 690, 123, 402, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.