GCD of 108, 458, 742, 785 Calculator

Given Input numbers are 108, 458, 742, 785

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

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 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (108, 458, 742, 785) = 1.

Given numbers are 108, 458, 742, 785

The list of prime factors of all numbers are

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

Prime factors of 458 are 2 x 229

Prime factors of 742 are 2 x 7 x 53

Prime factors of 785 are 5 x 157

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

Given numbers are 108, 458, 742, 785

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

Apply this formula for all numbers.

Step1:

LCM(108, 458) = 24732

GCD(108, 458) = ( 108 x 458 ) / 24732

= 108 / 458

= 108

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

= 2 / 785

= 2

So, Greatest Common Divisor of 108, 458, 742, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 721, 340, 778
• GCD of 511, 186, 523, 441
• GCD of 390, 226, 741, 224
• GCD of 457, 756, 785, 129
• GCD of 718, 608, 149, 111

Given numbers are 108, 458, 742, 785
The greatest common divisor of numbers 108, 458, 742, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 458, 742, 785 is 1.

1. What is the GCD of 108, 458, 742, 785?

GCD of given numbers 108, 458, 742, 785 is 1

2. How to calculate the greatest common divisor of 108, 458, 742, 785?

We can find the highest common divisor of 108, 458, 742, 785 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 108, 458, 742, 785 i.e 1.

3. How can I use the GCD of 108, 458, 742, 785Calculator?

Out the numbers 108, 458, 742, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.