GCD of 892, 804, 762, 858 Calculator

Given Input numbers are 892, 804, 762, 858

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 762 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (892, 804, 762, 858) = 2.

Given numbers are 892, 804, 762, 858

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 762 are 2 x 3 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 892, 804, 762, 858 is 2.

Given numbers are 892, 804, 762, 858

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

Apply this formula for all numbers.

Step1:

LCM(892, 804) = 179292

GCD(892, 804) = ( 892 x 804 ) / 179292

= 892 / 804

= 892

Step2:

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

= 4 / 762

= 4

Step3:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

So, Greatest Common Divisor of 892, 804, 762, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 429, 840, 128
• GCD of 129, 888, 823, 610
• GCD of 498, 613, 412, 420
• GCD of 101, 477, 796, 881
• GCD of 143, 852, 760, 405

Given numbers are 892, 804, 762, 858
The greatest common divisor of numbers 892, 804, 762, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 804, 762, 858 is 2.

1. What is the GCD of 892, 804, 762, 858?

GCD of given numbers 892, 804, 762, 858 is 2

2. How to calculate the greatest common divisor of 892, 804, 762, 858?

We can find the highest common divisor of 892, 804, 762, 858 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 892, 804, 762, 858 i.e 2.

3. How can I use the GCD of 892, 804, 762, 858Calculator?

Out the numbers 892, 804, 762, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.