GCD of 966, 732, 938, 746 Calculator

Given Input numbers are 966, 732, 938, 746

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 746 :

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

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (966, 732, 938, 746) = 2.

Given numbers are 966, 732, 938, 746

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 938 are 2 x 7 x 67

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 966, 732, 938, 746 is 2.

Given numbers are 966, 732, 938, 746

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

Apply this formula for all numbers.

Step1:

LCM(966, 732) = 117852

GCD(966, 732) = ( 966 x 732 ) / 117852

= 966 / 732

= 966

Step2:

LCM(6, 938) = 2814

GCD(6, 938) = ( 6 x 938 ) / 2814

= 6 / 938

= 6

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 966, 732, 938, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 109, 612, 541
• GCD of 689, 859, 718, 727
• GCD of 841, 905, 641, 326
• GCD of 813, 460, 938, 943
• GCD of 138, 936, 133, 414

Given numbers are 966, 732, 938, 746
The greatest common divisor of numbers 966, 732, 938, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 732, 938, 746 is 2.

1. What is the GCD of 966, 732, 938, 746?

GCD of given numbers 966, 732, 938, 746 is 2

2. How to calculate the greatest common divisor of 966, 732, 938, 746?

We can find the highest common divisor of 966, 732, 938, 746 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 966, 732, 938, 746 i.e 2.

3. How can I use the GCD of 966, 732, 938, 746Calculator?

Out the numbers 966, 732, 938, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.