GCD of 892, 956, 372, 838 Calculator

Given Input numbers are 892, 956, 372, 838

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (892, 956, 372, 838) = 2.

Given numbers are 892, 956, 372, 838

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 956 are 2 x 2 x 239

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 892, 956, 372, 838 is 2.

Given numbers are 892, 956, 372, 838

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

Apply this formula for all numbers.

Step1:

LCM(892, 956) = 213188

GCD(892, 956) = ( 892 x 956 ) / 213188

= 892 / 956

= 892

Step2:

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

= 4 / 372

= 4

Step3:

LCM(4, 838) = 1676

GCD(4, 838) = ( 4 x 838 ) / 1676

= 4 / 838

= 4

So, Greatest Common Divisor of 892, 956, 372, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 783, 708, 117
• GCD of 252, 817, 813, 158
• GCD of 598, 850, 909, 646
• GCD of 172, 587, 151, 580
• GCD of 294, 188, 244, 644

Given numbers are 892, 956, 372, 838
The greatest common divisor of numbers 892, 956, 372, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 956, 372, 838 is 2.

1. What is the GCD of 892, 956, 372, 838?

GCD of given numbers 892, 956, 372, 838 is 2

2. How to calculate the greatest common divisor of 892, 956, 372, 838?

We can find the highest common divisor of 892, 956, 372, 838 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, 956, 372, 838 i.e 2.

3. How can I use the GCD of 892, 956, 372, 838Calculator?

Out the numbers 892, 956, 372, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.