GCD of 420, 626, 538, 969 Calculator

Given Input numbers are 420, 626, 538, 969

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

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 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (420, 626, 538, 969) = 1.

Given numbers are 420, 626, 538, 969

The list of prime factors of all numbers are

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

Prime factors of 626 are 2 x 313

Prime factors of 538 are 2 x 269

Prime factors of 969 are 3 x 17 x 19

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

Given numbers are 420, 626, 538, 969

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

Apply this formula for all numbers.

Step1:

LCM(420, 626) = 131460

GCD(420, 626) = ( 420 x 626 ) / 131460

= 420 / 626

= 420

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

So, Greatest Common Divisor of 420, 626, 538, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 621, 152, 932
• GCD of 261, 118, 742, 185
• GCD of 798, 564, 386, 372
• GCD of 736, 240, 128, 894
• GCD of 174, 323, 870, 920

Given numbers are 420, 626, 538, 969
The greatest common divisor of numbers 420, 626, 538, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 626, 538, 969 is 1.

1. What is the GCD of 420, 626, 538, 969?

GCD of given numbers 420, 626, 538, 969 is 1

2. How to calculate the greatest common divisor of 420, 626, 538, 969?

We can find the highest common divisor of 420, 626, 538, 969 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 420, 626, 538, 969 i.e 1.

3. How can I use the GCD of 420, 626, 538, 969Calculator?

Out the numbers 420, 626, 538, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.