GCD of 561, 155, 420, 988 Calculator

Given Input numbers are 561, 155, 420, 988

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (561, 155, 420, 988) = 1.

Given numbers are 561, 155, 420, 988

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 155 are 5 x 31

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

Prime factors of 988 are 2 x 2 x 13 x 19

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

Given numbers are 561, 155, 420, 988

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

Apply this formula for all numbers.

Step1:

LCM(561, 155) = 86955

GCD(561, 155) = ( 561 x 155 ) / 86955

= 561 / 155

= 561

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

So, Greatest Common Divisor of 561, 155, 420, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 201, 597, 518
• GCD of 404, 742, 367, 700
• GCD of 919, 700, 956, 348
• GCD of 257, 755, 913, 943
• GCD of 161, 304, 785, 738

Given numbers are 561, 155, 420, 988
The greatest common divisor of numbers 561, 155, 420, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 155, 420, 988 is 1.

1. What is the GCD of 561, 155, 420, 988?

GCD of given numbers 561, 155, 420, 988 is 1

2. How to calculate the greatest common divisor of 561, 155, 420, 988?

We can find the highest common divisor of 561, 155, 420, 988 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 561, 155, 420, 988 i.e 1.

3. How can I use the GCD of 561, 155, 420, 988Calculator?

Out the numbers 561, 155, 420, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.