GCD of 872, 120, 657, 575 Calculator

Given Input numbers are 872, 120, 657, 575

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (872, 120, 657, 575) = 1.

Given numbers are 872, 120, 657, 575

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 657 are 3 x 3 x 73

Prime factors of 575 are 5 x 5 x 23

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

Given numbers are 872, 120, 657, 575

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

Apply this formula for all numbers.

Step1:

LCM(872, 120) = 13080

GCD(872, 120) = ( 872 x 120 ) / 13080

= 872 / 120

= 872

Step2:

LCM(8, 657) = 5256

GCD(8, 657) = ( 8 x 657 ) / 5256

= 8 / 657

= 8

Step3:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1

So, Greatest Common Divisor of 872, 120, 657, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 837, 930, 653
• GCD of 575, 521, 629, 280
• GCD of 171, 697, 882, 640
• GCD of 140, 136, 117, 563
• GCD of 619, 474, 651, 926

Given numbers are 872, 120, 657, 575
The greatest common divisor of numbers 872, 120, 657, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 120, 657, 575 is 1.

1. What is the GCD of 872, 120, 657, 575?

GCD of given numbers 872, 120, 657, 575 is 1

2. How to calculate the greatest common divisor of 872, 120, 657, 575?

We can find the highest common divisor of 872, 120, 657, 575 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 872, 120, 657, 575 i.e 1.

3. How can I use the GCD of 872, 120, 657, 575Calculator?

Out the numbers 872, 120, 657, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.