GCD of 746, 834, 172, 990 Calculator

Given Input numbers are 746, 834, 172, 990

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 834 :

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

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (746, 834, 172, 990) = 2.

Given numbers are 746, 834, 172, 990

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 834 are 2 x 3 x 139

Prime factors of 172 are 2 x 2 x 43

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 746, 834, 172, 990 is 2.

Given numbers are 746, 834, 172, 990

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

Apply this formula for all numbers.

Step1:

LCM(746, 834) = 311082

GCD(746, 834) = ( 746 x 834 ) / 311082

= 746 / 834

= 746

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 746, 834, 172, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 374, 111, 691
• GCD of 455, 823, 641, 849
• GCD of 311, 702, 105, 598
• GCD of 131, 620, 719, 993
• GCD of 384, 693, 994, 516

Given numbers are 746, 834, 172, 990
The greatest common divisor of numbers 746, 834, 172, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 834, 172, 990 is 2.

1. What is the GCD of 746, 834, 172, 990?

GCD of given numbers 746, 834, 172, 990 is 2

2. How to calculate the greatest common divisor of 746, 834, 172, 990?

We can find the highest common divisor of 746, 834, 172, 990 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 746, 834, 172, 990 i.e 2.

3. How can I use the GCD of 746, 834, 172, 990Calculator?

Out the numbers 746, 834, 172, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.