GCD of 834, 700, 360, 892 Calculator

Given Input numbers are 834, 700, 360, 892

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (834, 700, 360, 892) = 2.

Given numbers are 834, 700, 360, 892

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 892 are 2 x 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 834, 700, 360, 892 is 2.

Given numbers are 834, 700, 360, 892

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

Apply this formula for all numbers.

Step1:

LCM(834, 700) = 291900

GCD(834, 700) = ( 834 x 700 ) / 291900

= 834 / 700

= 834

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

So, Greatest Common Divisor of 834, 700, 360, 892 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 869, 879, 905
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Given numbers are 834, 700, 360, 892
The greatest common divisor of numbers 834, 700, 360, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 700, 360, 892 is 2.

1. What is the GCD of 834, 700, 360, 892?

GCD of given numbers 834, 700, 360, 892 is 2

2. How to calculate the greatest common divisor of 834, 700, 360, 892?

We can find the highest common divisor of 834, 700, 360, 892 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 834, 700, 360, 892 i.e 2.

3. How can I use the GCD of 834, 700, 360, 892Calculator?

Out the numbers 834, 700, 360, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.