GCD of 838, 360, 892, 716 Calculator

Given Input numbers are 838, 360, 892, 716

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

Divisors of 838 :

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

1, 2, 419, 838

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (838, 360, 892, 716) = 2.

Given numbers are 838, 360, 892, 716

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

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

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 838, 360, 892, 716 is 2.

Given numbers are 838, 360, 892, 716

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

Apply this formula for all numbers.

Step1:

LCM(838, 360) = 150840

GCD(838, 360) = ( 838 x 360 ) / 150840

= 838 / 360

= 838

Step2:

LCM(2, 892) = 892

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

= 2 / 892

= 2

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 838, 360, 892, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 628, 199, 605
• GCD of 179, 818, 836, 839
• GCD of 739, 960, 480, 802
• GCD of 145, 170, 300, 635
• GCD of 459, 393, 936, 652

Given numbers are 838, 360, 892, 716
The greatest common divisor of numbers 838, 360, 892, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 360, 892, 716 is 2.

1. What is the GCD of 838, 360, 892, 716?

GCD of given numbers 838, 360, 892, 716 is 2

2. How to calculate the greatest common divisor of 838, 360, 892, 716?

We can find the highest common divisor of 838, 360, 892, 716 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 838, 360, 892, 716 i.e 2.

3. How can I use the GCD of 838, 360, 892, 716Calculator?

Out the numbers 838, 360, 892, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.