GCD of 858, 402, 828, 120 Calculator

Given Input numbers are 858, 402, 828, 120

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

GCD of numbers is the greatest common divisor

So, the GCD (858, 402, 828, 120) = 6.

Given numbers are 858, 402, 828, 120

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 402 are 2 x 3 x 67

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 858, 402, 828, 120 is 6.

Given numbers are 858, 402, 828, 120

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

Apply this formula for all numbers.

Step1:

LCM(858, 402) = 57486

GCD(858, 402) = ( 858 x 402 ) / 57486

= 858 / 402

= 858

Step2:

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

= 6 / 828

= 6

Step3:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 858, 402, 828, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 625, 952, 235
• GCD of 447, 101, 421, 842
• GCD of 299, 393, 675, 269
• GCD of 626, 801, 604, 459
• GCD of 832, 838, 637, 643

Given numbers are 858, 402, 828, 120
The greatest common divisor of numbers 858, 402, 828, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 402, 828, 120 is 6.

1. What is the GCD of 858, 402, 828, 120?

GCD of given numbers 858, 402, 828, 120 is 6

2. How to calculate the greatest common divisor of 858, 402, 828, 120?

We can find the highest common divisor of 858, 402, 828, 120 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 858, 402, 828, 120 i.e 6.

3. How can I use the GCD of 858, 402, 828, 120Calculator?

Out the numbers 858, 402, 828, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.