GCD of 120, 561, 280, 152 Calculator

Given Input numbers are 120, 561, 280, 152

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 561 :

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

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

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (120, 561, 280, 152) = 1.

Given numbers are 120, 561, 280, 152

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 561 are 3 x 11 x 17

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

Prime factors of 152 are 2 x 2 x 2 x 19

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

Given numbers are 120, 561, 280, 152

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

Apply this formula for all numbers.

Step1:

LCM(120, 561) = 22440

GCD(120, 561) = ( 120 x 561 ) / 22440

= 120 / 561

= 120

Step2:

LCM(3, 280) = 840

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

= 3 / 280

= 3

Step3:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1

So, Greatest Common Divisor of 120, 561, 280, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 970, 828, 274
• GCD of 504, 380, 568, 256
• GCD of 410, 247, 703, 599
• GCD of 128, 357, 467, 468
• GCD of 104, 957, 954, 315

Given numbers are 120, 561, 280, 152
The greatest common divisor of numbers 120, 561, 280, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 561, 280, 152 is 1.

1. What is the GCD of 120, 561, 280, 152?

GCD of given numbers 120, 561, 280, 152 is 1

2. How to calculate the greatest common divisor of 120, 561, 280, 152?

We can find the highest common divisor of 120, 561, 280, 152 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 120, 561, 280, 152 i.e 1.

3. How can I use the GCD of 120, 561, 280, 152Calculator?

Out the numbers 120, 561, 280, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.