GCD of 892, 600, 136, 292 Calculator

Given Input numbers are 892, 600, 136, 292

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

GCD of numbers is the greatest common divisor

So, the GCD (892, 600, 136, 292) = 4.

Given numbers are 892, 600, 136, 292

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 292 are 2 x 2 x 73

The highest common occurrence is 2²

Therefore, GCD of 892, 600, 136, 292 is 4.

Given numbers are 892, 600, 136, 292

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

Apply this formula for all numbers.

Step1:

LCM(892, 600) = 133800

GCD(892, 600) = ( 892 x 600 ) / 133800

= 892 / 600

= 892

Step2:

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

= 4 / 136

= 4

Step3:

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

= 4 / 292

= 4

So, Greatest Common Divisor of 892, 600, 136, 292 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 146, 281, 953
• GCD of 604, 474, 103, 345
• GCD of 279, 367, 903, 317
• GCD of 671, 253, 845, 844
• GCD of 938, 195, 380, 144

Given numbers are 892, 600, 136, 292
The greatest common divisor of numbers 892, 600, 136, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 600, 136, 292 is 4.

1. What is the GCD of 892, 600, 136, 292?

GCD of given numbers 892, 600, 136, 292 is 4

2. How to calculate the greatest common divisor of 892, 600, 136, 292?

We can find the highest common divisor of 892, 600, 136, 292 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, 600, 136, 292 i.e 4.

3. How can I use the GCD of 892, 600, 136, 292Calculator?

Out the numbers 892, 600, 136, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.