GCD of 169, 420, 38, 938 Calculator

Given Input numbers are 169, 420, 38, 938

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

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 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 938 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (169, 420, 38, 938) = 1.

Given numbers are 169, 420, 38, 938

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

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

Prime factors of 38 are 2 x 19

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 169, 420, 38, 938

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

Apply this formula for all numbers.

Step1:

LCM(169, 420) = 70980

GCD(169, 420) = ( 169 x 420 ) / 70980

= 169 / 420

= 169

Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 169, 420, 38, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 724, 13, 134
• GCD of 495, 173, 46, 138
• GCD of 859, 301, 42, 354
• GCD of 574, 619, 77, 165
• GCD of 729, 308, 10, 193

Given numbers are 169, 420, 38, 938
The greatest common divisor of numbers 169, 420, 38, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 420, 38, 938 is 1.

1. What is the GCD of 169, 420, 38, 938?

GCD of given numbers 169, 420, 38, 938 is 1

2. How to calculate the greatest common divisor of 169, 420, 38, 938?

We can find the highest common divisor of 169, 420, 38, 938 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 169, 420, 38, 938 i.e 1.

3. How can I use the GCD of 169, 420, 38, 938Calculator?

Out the numbers 169, 420, 38, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.