GCD of 637, 742, 575, 106 Calculator

Given Input numbers are 637, 742, 575, 106

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

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 742 :

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

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (637, 742, 575, 106) = 1.

Given numbers are 637, 742, 575, 106

The list of prime factors of all numbers are

Prime factors of 637 are 7 x 7 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 575 are 5 x 5 x 23

Prime factors of 106 are 2 x 53

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

Given numbers are 637, 742, 575, 106

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

Apply this formula for all numbers.

Step1:

LCM(637, 742) = 67522

GCD(637, 742) = ( 637 x 742 ) / 67522

= 637 / 742

= 637

Step2:

LCM(7, 575) = 4025

GCD(7, 575) = ( 7 x 575 ) / 4025

= 7 / 575

= 7

Step3:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

So, Greatest Common Divisor of 637, 742, 575, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 839, 742, 224
• GCD of 112, 140, 930, 751
• GCD of 432, 998, 184, 361
• GCD of 525, 512, 927, 190
• GCD of 803, 777, 797, 843

Given numbers are 637, 742, 575, 106
The greatest common divisor of numbers 637, 742, 575, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 637, 742, 575, 106 is 1.

1. What is the GCD of 637, 742, 575, 106?

GCD of given numbers 637, 742, 575, 106 is 1

2. How to calculate the greatest common divisor of 637, 742, 575, 106?

We can find the highest common divisor of 637, 742, 575, 106 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 637, 742, 575, 106 i.e 1.

3. How can I use the GCD of 637, 742, 575, 106Calculator?

Out the numbers 637, 742, 575, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.