GCD of 374, 992, 38, 764 Calculator

Given Input numbers are 374, 992, 38, 764

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (374, 992, 38, 764) = 2.

Given numbers are 374, 992, 38, 764

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 38 are 2 x 19

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 374, 992, 38, 764 is 2.

Given numbers are 374, 992, 38, 764

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

Apply this formula for all numbers.

Step1:

LCM(374, 992) = 185504

GCD(374, 992) = ( 374 x 992 ) / 185504

= 374 / 992

= 374

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 374, 992, 38, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 931, 70, 323
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• GCD of 618, 605, 59, 482
• GCD of 268, 262, 66, 462

Given numbers are 374, 992, 38, 764
The greatest common divisor of numbers 374, 992, 38, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 992, 38, 764 is 2.

1. What is the GCD of 374, 992, 38, 764?

GCD of given numbers 374, 992, 38, 764 is 2

2. How to calculate the greatest common divisor of 374, 992, 38, 764?

We can find the highest common divisor of 374, 992, 38, 764 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 374, 992, 38, 764 i.e 2.

3. How can I use the GCD of 374, 992, 38, 764Calculator?

Out the numbers 374, 992, 38, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.