GCD of 356, 366, 678, 992 Calculator

Given Input numbers are 356, 366, 678, 992

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 (356, 366, 678, 992) = 2.

Given numbers are 356, 366, 678, 992

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 366 are 2 x 3 x 61

Prime factors of 678 are 2 x 3 x 113

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 356, 366, 678, 992 is 2.

Given numbers are 356, 366, 678, 992

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

Apply this formula for all numbers.

Step1:

LCM(356, 366) = 65148

GCD(356, 366) = ( 356 x 366 ) / 65148

= 356 / 366

= 356

Step2:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 356, 366, 678, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 999, 853, 755
• GCD of 207, 988, 686, 558
• GCD of 214, 764, 257, 987
• GCD of 674, 798, 302, 530
• GCD of 746, 674, 501, 992

Given numbers are 356, 366, 678, 992
The greatest common divisor of numbers 356, 366, 678, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 366, 678, 992 is 2.

1. What is the GCD of 356, 366, 678, 992?

GCD of given numbers 356, 366, 678, 992 is 2

2. How to calculate the greatest common divisor of 356, 366, 678, 992?

We can find the highest common divisor of 356, 366, 678, 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 356, 366, 678, 992 i.e 2.

3. How can I use the GCD of 356, 366, 678, 992Calculator?

Out the numbers 356, 366, 678, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.