GCD of 456, 682, 187, 742 Calculator

Given Input numbers are 456, 682, 187, 742

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (456, 682, 187, 742) = 1.

Given numbers are 456, 682, 187, 742

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 682 are 2 x 11 x 31

Prime factors of 187 are 11 x 17

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 456, 682, 187, 742

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

Apply this formula for all numbers.

Step1:

LCM(456, 682) = 155496

GCD(456, 682) = ( 456 x 682 ) / 155496

= 456 / 682

= 456

Step2:

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

= 2 / 187

= 2

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 456, 682, 187, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 192, 482, 770
• GCD of 437, 818, 478, 241
• GCD of 802, 809, 687, 457
• GCD of 760, 815, 966, 296
• GCD of 528, 321, 172, 489

Given numbers are 456, 682, 187, 742
The greatest common divisor of numbers 456, 682, 187, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 682, 187, 742 is 1.

1. What is the GCD of 456, 682, 187, 742?

GCD of given numbers 456, 682, 187, 742 is 1

2. How to calculate the greatest common divisor of 456, 682, 187, 742?

We can find the highest common divisor of 456, 682, 187, 742 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 456, 682, 187, 742 i.e 1.

3. How can I use the GCD of 456, 682, 187, 742Calculator?

Out the numbers 456, 682, 187, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.