GCD of 746, 689, 476, 816 Calculator

Given Input numbers are 746, 689, 476, 816

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (746, 689, 476, 816) = 1.

Given numbers are 746, 689, 476, 816

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 689 are 13 x 53

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

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Given numbers are 746, 689, 476, 816

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

Apply this formula for all numbers.

Step1:

LCM(746, 689) = 513994

GCD(746, 689) = ( 746 x 689 ) / 513994

= 746 / 689

= 746

Step2:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1

Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

So, Greatest Common Divisor of 746, 689, 476, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 534, 529, 150
• GCD of 820, 644, 517, 301
• GCD of 255, 110, 541, 146
• GCD of 332, 868, 961, 523
• GCD of 973, 745, 472, 225

Given numbers are 746, 689, 476, 816
The greatest common divisor of numbers 746, 689, 476, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 689, 476, 816 is 1.

1. What is the GCD of 746, 689, 476, 816?

GCD of given numbers 746, 689, 476, 816 is 1

2. How to calculate the greatest common divisor of 746, 689, 476, 816?

We can find the highest common divisor of 746, 689, 476, 816 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 746, 689, 476, 816 i.e 1.

3. How can I use the GCD of 746, 689, 476, 816Calculator?

Out the numbers 746, 689, 476, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.