GCD of 628, 742, 188, 829 Calculator

Given Input numbers are 628, 742, 188, 829

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 742 :

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

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

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (628, 742, 188, 829) = 1.

Given numbers are 628, 742, 188, 829

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 742 are 2 x 7 x 53

Prime factors of 188 are 2 x 2 x 47

Prime factors of 829 are 829

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

Given numbers are 628, 742, 188, 829

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

Apply this formula for all numbers.

Step1:

LCM(628, 742) = 232988

GCD(628, 742) = ( 628 x 742 ) / 232988

= 628 / 742

= 628

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

So, Greatest Common Divisor of 628, 742, 188, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 424, 159, 676
• GCD of 508, 367, 753, 552
• GCD of 866, 144, 410, 888
• GCD of 500, 552, 773, 123
• GCD of 522, 559, 863, 901

Given numbers are 628, 742, 188, 829
The greatest common divisor of numbers 628, 742, 188, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 742, 188, 829 is 1.

1. What is the GCD of 628, 742, 188, 829?

GCD of given numbers 628, 742, 188, 829 is 1

2. How to calculate the greatest common divisor of 628, 742, 188, 829?

We can find the highest common divisor of 628, 742, 188, 829 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 628, 742, 188, 829 i.e 1.

3. How can I use the GCD of 628, 742, 188, 829Calculator?

Out the numbers 628, 742, 188, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.