GCD of 457, 108, 689, 769 Calculator

Given Input numbers are 457, 108, 689, 769

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

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

GCD of numbers is the greatest common divisor

So, the GCD (457, 108, 689, 769) = 1.

Given numbers are 457, 108, 689, 769

The list of prime factors of all numbers are

Prime factors of 457 are 457

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 689 are 13 x 53

Prime factors of 769 are 769

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

Given numbers are 457, 108, 689, 769

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

Apply this formula for all numbers.

Step1:

LCM(457, 108) = 49356

GCD(457, 108) = ( 457 x 108 ) / 49356

= 457 / 108

= 457

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

= 1 / 769

= 1

So, Greatest Common Divisor of 457, 108, 689, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 523, 882, 729
• GCD of 982, 834, 369, 846
• GCD of 738, 830, 385, 184
• GCD of 192, 332, 965, 608
• GCD of 916, 857, 445, 222

Given numbers are 457, 108, 689, 769
The greatest common divisor of numbers 457, 108, 689, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 457, 108, 689, 769 is 1.

1. What is the GCD of 457, 108, 689, 769?

GCD of given numbers 457, 108, 689, 769 is 1

2. How to calculate the greatest common divisor of 457, 108, 689, 769?

We can find the highest common divisor of 457, 108, 689, 769 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 457, 108, 689, 769 i.e 1.

3. How can I use the GCD of 457, 108, 689, 769Calculator?

Out the numbers 457, 108, 689, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.