GCD of 669, 834, 748, 420 Calculator

Given Input numbers are 669, 834, 748, 420

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

GCD of numbers is the greatest common divisor

So, the GCD (669, 834, 748, 420) = 1.

Given numbers are 669, 834, 748, 420

The list of prime factors of all numbers are

Prime factors of 669 are 3 x 223

Prime factors of 834 are 2 x 3 x 139

Prime factors of 748 are 2 x 2 x 11 x 17

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

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

Given numbers are 669, 834, 748, 420

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

Apply this formula for all numbers.

Step1:

LCM(669, 834) = 185982

GCD(669, 834) = ( 669 x 834 ) / 185982

= 669 / 834

= 669

Step2:

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

= 3 / 748

= 3

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 669, 834, 748, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 732, 268, 519
• GCD of 313, 372, 723, 165
• GCD of 904, 344, 335, 657
• GCD of 361, 348, 187, 933
• GCD of 172, 877, 175, 270

Given numbers are 669, 834, 748, 420
The greatest common divisor of numbers 669, 834, 748, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 669, 834, 748, 420 is 1.

1. What is the GCD of 669, 834, 748, 420?

GCD of given numbers 669, 834, 748, 420 is 1

2. How to calculate the greatest common divisor of 669, 834, 748, 420?

We can find the highest common divisor of 669, 834, 748, 420 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 669, 834, 748, 420 i.e 1.

3. How can I use the GCD of 669, 834, 748, 420Calculator?

Out the numbers 669, 834, 748, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.