GCD of 120, 504, 867, 657 Calculator

Given Input numbers are 120, 504, 867, 657

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 657 :

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

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (120, 504, 867, 657) = 3.

Given numbers are 120, 504, 867, 657

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 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 867 are 3 x 17 x 17

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 120, 504, 867, 657 is 3.

Given numbers are 120, 504, 867, 657

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

Apply this formula for all numbers.

Step1:

LCM(120, 504) = 2520

GCD(120, 504) = ( 120 x 504 ) / 2520

= 120 / 504

= 120

Step2:

LCM(24, 867) = 6936

GCD(24, 867) = ( 24 x 867 ) / 6936

= 24 / 867

= 24

Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

So, Greatest Common Divisor of 120, 504, 867, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 519, 624, 176
• GCD of 702, 778, 859, 241
• GCD of 589, 996, 730, 610
• GCD of 588, 429, 334, 801
• GCD of 586, 174, 510, 755

Given numbers are 120, 504, 867, 657
The greatest common divisor of numbers 120, 504, 867, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 504, 867, 657 is 3.

1. What is the GCD of 120, 504, 867, 657?

GCD of given numbers 120, 504, 867, 657 is 3

2. How to calculate the greatest common divisor of 120, 504, 867, 657?

We can find the highest common divisor of 120, 504, 867, 657 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, 504, 867, 657 i.e 3.

3. How can I use the GCD of 120, 504, 867, 657Calculator?

Out the numbers 120, 504, 867, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.