GCD of 120, 385, 574, 889 Calculator

Given Input numbers are 120, 385, 574, 889

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (120, 385, 574, 889) = 1.

Given numbers are 120, 385, 574, 889

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 385 are 5 x 7 x 11

Prime factors of 574 are 2 x 7 x 41

Prime factors of 889 are 7 x 127

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

Given numbers are 120, 385, 574, 889

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

Apply this formula for all numbers.

Step1:

LCM(120, 385) = 9240

GCD(120, 385) = ( 120 x 385 ) / 9240

= 120 / 385

= 120

Step2:

LCM(5, 574) = 2870

GCD(5, 574) = ( 5 x 574 ) / 2870

= 5 / 574

= 5

Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1

So, Greatest Common Divisor of 120, 385, 574, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 285, 956, 637
• GCD of 758, 128, 200, 611
• GCD of 177, 533, 564, 371
• GCD of 127, 668, 841, 139
• GCD of 862, 898, 811, 929

Given numbers are 120, 385, 574, 889
The greatest common divisor of numbers 120, 385, 574, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 385, 574, 889 is 1.

1. What is the GCD of 120, 385, 574, 889?

GCD of given numbers 120, 385, 574, 889 is 1

2. How to calculate the greatest common divisor of 120, 385, 574, 889?

We can find the highest common divisor of 120, 385, 574, 889 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, 385, 574, 889 i.e 1.

3. How can I use the GCD of 120, 385, 574, 889Calculator?

Out the numbers 120, 385, 574, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.