GCD of 938, 420, 973, 106 Calculator

Given Input numbers are 938, 420, 973, 106

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

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 (938, 420, 973, 106) = 1.

Given numbers are 938, 420, 973, 106

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 973 are 7 x 139

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 938, 420, 973, 106

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

Apply this formula for all numbers.

Step1:

LCM(938, 420) = 28140

GCD(938, 420) = ( 938 x 420 ) / 28140

= 938 / 420

= 938

Step2:

LCM(14, 973) = 1946

GCD(14, 973) = ( 14 x 973 ) / 1946

= 14 / 973

= 14

Step3:

LCM(7, 106) = 742

GCD(7, 106) = ( 7 x 106 ) / 742

= 7 / 106

= 7

So, Greatest Common Divisor of 938, 420, 973, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 300, 532, 389
• GCD of 502, 881, 620, 365
• GCD of 931, 684, 702, 124
• GCD of 187, 177, 364, 226
• GCD of 285, 431, 788, 282

Given numbers are 938, 420, 973, 106
The greatest common divisor of numbers 938, 420, 973, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 420, 973, 106 is 1.

1. What is the GCD of 938, 420, 973, 106?

GCD of given numbers 938, 420, 973, 106 is 1

2. How to calculate the greatest common divisor of 938, 420, 973, 106?

We can find the highest common divisor of 938, 420, 973, 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 938, 420, 973, 106 i.e 1.

3. How can I use the GCD of 938, 420, 973, 106Calculator?

Out the numbers 938, 420, 973, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.