GCD of 420, 969, 280, 429 Calculator

Given Input numbers are 420, 969, 280, 429

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 969 :

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

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (420, 969, 280, 429) = 1.

Given numbers are 420, 969, 280, 429

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 969 are 3 x 17 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 429 are 3 x 11 x 13

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

Given numbers are 420, 969, 280, 429

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

Apply this formula for all numbers.

Step1:

LCM(420, 969) = 135660

GCD(420, 969) = ( 420 x 969 ) / 135660

= 420 / 969

= 420

Step2:

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

= 3 / 280

= 3

Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

So, Greatest Common Divisor of 420, 969, 280, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 638, 409, 849
• GCD of 561, 573, 689, 492
• GCD of 706, 250, 675, 250
• GCD of 433, 131, 476, 403
• GCD of 344, 451, 141, 712

Given numbers are 420, 969, 280, 429
The greatest common divisor of numbers 420, 969, 280, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 969, 280, 429 is 1.

1. What is the GCD of 420, 969, 280, 429?

GCD of given numbers 420, 969, 280, 429 is 1

2. How to calculate the greatest common divisor of 420, 969, 280, 429?

We can find the highest common divisor of 420, 969, 280, 429 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, 969, 280, 429 i.e 1.

3. How can I use the GCD of 420, 969, 280, 429Calculator?

Out the numbers 420, 969, 280, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.