GCD of 972, 986, 398, 268 Calculator

Given Input numbers are 972, 986, 398, 268

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 986 :

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

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (972, 986, 398, 268) = 2.

Given numbers are 972, 986, 398, 268

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 986 are 2 x 17 x 29

Prime factors of 398 are 2 x 199

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 972, 986, 398, 268 is 2.

Given numbers are 972, 986, 398, 268

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

Apply this formula for all numbers.

Step1:

LCM(972, 986) = 479196

GCD(972, 986) = ( 972 x 986 ) / 479196

= 972 / 986

= 972

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 972, 986, 398, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 469, 205, 884
• GCD of 583, 982, 138, 409
• GCD of 586, 506, 780, 369
• GCD of 259, 890, 274, 697
• GCD of 820, 255, 540, 949

Given numbers are 972, 986, 398, 268
The greatest common divisor of numbers 972, 986, 398, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 986, 398, 268 is 2.

1. What is the GCD of 972, 986, 398, 268?

GCD of given numbers 972, 986, 398, 268 is 2

2. How to calculate the greatest common divisor of 972, 986, 398, 268?

We can find the highest common divisor of 972, 986, 398, 268 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 972, 986, 398, 268 i.e 2.

3. How can I use the GCD of 972, 986, 398, 268Calculator?

Out the numbers 972, 986, 398, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.