GCD of 559, 941, 945, 420 Calculator

Given Input numbers are 559, 941, 945, 420

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

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 941 :

The positive integer divisors of 941 that completely divides 941 are.

1, 941

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 (559, 941, 945, 420) = 1.

Given numbers are 559, 941, 945, 420

The list of prime factors of all numbers are

Prime factors of 559 are 13 x 43

Prime factors of 941 are 941

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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 559, 941, 945, 420

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

Apply this formula for all numbers.

Step1:

LCM(559, 941) = 526019

GCD(559, 941) = ( 559 x 941 ) / 526019

= 559 / 941

= 559

Step2:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 559, 941, 945, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 975, 324, 390
• GCD of 168, 316, 846, 192
• GCD of 757, 680, 163, 698
• GCD of 405, 950, 112, 939
• GCD of 829, 178, 395, 201

Given numbers are 559, 941, 945, 420
The greatest common divisor of numbers 559, 941, 945, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 941, 945, 420 is 1.

1. What is the GCD of 559, 941, 945, 420?

GCD of given numbers 559, 941, 945, 420 is 1

2. How to calculate the greatest common divisor of 559, 941, 945, 420?

We can find the highest common divisor of 559, 941, 945, 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 559, 941, 945, 420 i.e 1.

3. How can I use the GCD of 559, 941, 945, 420Calculator?

Out the numbers 559, 941, 945, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.