GCD of 738, 696, 996, 922 Calculator

Given Input numbers are 738, 696, 996, 922

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (738, 696, 996, 922) = 2.

Given numbers are 738, 696, 996, 922

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 738, 696, 996, 922 is 2.

Given numbers are 738, 696, 996, 922

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

Apply this formula for all numbers.

Step1:

LCM(738, 696) = 85608

GCD(738, 696) = ( 738 x 696 ) / 85608

= 738 / 696

= 738

Step2:

LCM(6, 996) = 996

GCD(6, 996) = ( 6 x 996 ) / 996

= 6 / 996

= 6

Step3:

LCM(6, 922) = 2766

GCD(6, 922) = ( 6 x 922 ) / 2766

= 6 / 922

= 6

So, Greatest Common Divisor of 738, 696, 996, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 944, 940, 937
• GCD of 911, 619, 636, 303
• GCD of 581, 424, 588, 273
• GCD of 435, 347, 739, 268
• GCD of 686, 748, 346, 906

Given numbers are 738, 696, 996, 922
The greatest common divisor of numbers 738, 696, 996, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 696, 996, 922 is 2.

1. What is the GCD of 738, 696, 996, 922?

GCD of given numbers 738, 696, 996, 922 is 2

2. How to calculate the greatest common divisor of 738, 696, 996, 922?

We can find the highest common divisor of 738, 696, 996, 922 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 738, 696, 996, 922 i.e 2.

3. How can I use the GCD of 738, 696, 996, 922Calculator?

Out the numbers 738, 696, 996, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.