GCD of 738, 702, 768, 992 Calculator

Given Input numbers are 738, 702, 768, 992

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (738, 702, 768, 992) = 2.

Given numbers are 738, 702, 768, 992

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 738, 702, 768, 992 is 2.

Given numbers are 738, 702, 768, 992

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

Apply this formula for all numbers.

Step1:

LCM(738, 702) = 28782

GCD(738, 702) = ( 738 x 702 ) / 28782

= 738 / 702

= 738

Step2:

LCM(18, 768) = 2304

GCD(18, 768) = ( 18 x 768 ) / 2304

= 18 / 768

= 18

Step3:

LCM(6, 992) = 2976

GCD(6, 992) = ( 6 x 992 ) / 2976

= 6 / 992

= 6

So, Greatest Common Divisor of 738, 702, 768, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 701, 319, 446
• GCD of 410, 736, 486, 126
• GCD of 196, 880, 156, 719
• GCD of 934, 890, 826, 797
• GCD of 935, 448, 212, 330

Given numbers are 738, 702, 768, 992
The greatest common divisor of numbers 738, 702, 768, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 702, 768, 992 is 2.

1. What is the GCD of 738, 702, 768, 992?

GCD of given numbers 738, 702, 768, 992 is 2

2. How to calculate the greatest common divisor of 738, 702, 768, 992?

We can find the highest common divisor of 738, 702, 768, 992 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, 702, 768, 992 i.e 2.

3. How can I use the GCD of 738, 702, 768, 992Calculator?

Out the numbers 738, 702, 768, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.