GCD of 858, 508, 762, 900 Calculator

Given Input numbers are 858, 508, 762, 900

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (858, 508, 762, 900) = 2.

Given numbers are 858, 508, 762, 900

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 762 are 2 x 3 x 127

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 858, 508, 762, 900 is 2.

Given numbers are 858, 508, 762, 900

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

Apply this formula for all numbers.

Step1:

LCM(858, 508) = 217932

GCD(858, 508) = ( 858 x 508 ) / 217932

= 858 / 508

= 858

Step2:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 858, 508, 762, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 253, 854, 969
• GCD of 757, 339, 205, 360
• GCD of 157, 141, 280, 494
• GCD of 350, 705, 542, 297
• GCD of 778, 542, 303, 517

Given numbers are 858, 508, 762, 900
The greatest common divisor of numbers 858, 508, 762, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 508, 762, 900 is 2.

1. What is the GCD of 858, 508, 762, 900?

GCD of given numbers 858, 508, 762, 900 is 2

2. How to calculate the greatest common divisor of 858, 508, 762, 900?

We can find the highest common divisor of 858, 508, 762, 900 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, 508, 762, 900 i.e 2.

3. How can I use the GCD of 858, 508, 762, 900Calculator?

Out the numbers 858, 508, 762, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.