GCD of 976, 732, 986, 164 Calculator

Given Input numbers are 976, 732, 986, 164

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (976, 732, 986, 164) = 2.

Given numbers are 976, 732, 986, 164

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 976, 732, 986, 164 is 2.

Given numbers are 976, 732, 986, 164

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

Apply this formula for all numbers.

Step1:

LCM(976, 732) = 2928

GCD(976, 732) = ( 976 x 732 ) / 2928

= 976 / 732

= 976

Step2:

LCM(244, 986) = 120292

GCD(244, 986) = ( 244 x 986 ) / 120292

= 244 / 986

= 244

Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 976, 732, 986, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 358, 613, 129
• GCD of 437, 884, 510, 680
• GCD of 286, 472, 945, 753
• GCD of 298, 636, 416, 771
• GCD of 122, 358, 687, 920

Given numbers are 976, 732, 986, 164
The greatest common divisor of numbers 976, 732, 986, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 732, 986, 164 is 2.

1. What is the GCD of 976, 732, 986, 164?

GCD of given numbers 976, 732, 986, 164 is 2

2. How to calculate the greatest common divisor of 976, 732, 986, 164?

We can find the highest common divisor of 976, 732, 986, 164 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 976, 732, 986, 164 i.e 2.

3. How can I use the GCD of 976, 732, 986, 164Calculator?

Out the numbers 976, 732, 986, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.