GCD of 976, 240, 956, 216 Calculator

Given Input numbers are 976, 240, 956, 216

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (976, 240, 956, 216) = 4.

Given numbers are 976, 240, 956, 216

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 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 956 are 2 x 2 x 239

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 976, 240, 956, 216 is 4.

Given numbers are 976, 240, 956, 216

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

Apply this formula for all numbers.

Step1:

LCM(976, 240) = 14640

GCD(976, 240) = ( 976 x 240 ) / 14640

= 976 / 240

= 976

Step2:

LCM(16, 956) = 3824

GCD(16, 956) = ( 16 x 956 ) / 3824

= 16 / 956

= 16

Step3:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

So, Greatest Common Divisor of 976, 240, 956, 216 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 714, 483, 404
• GCD of 981, 253, 359, 931
• GCD of 610, 128, 102, 983
• GCD of 140, 957, 860, 427
• GCD of 320, 623, 416, 670

Given numbers are 976, 240, 956, 216
The greatest common divisor of numbers 976, 240, 956, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 240, 956, 216 is 4.

1. What is the GCD of 976, 240, 956, 216?

GCD of given numbers 976, 240, 956, 216 is 4

2. How to calculate the greatest common divisor of 976, 240, 956, 216?

We can find the highest common divisor of 976, 240, 956, 216 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, 240, 956, 216 i.e 4.

3. How can I use the GCD of 976, 240, 956, 216Calculator?

Out the numbers 976, 240, 956, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.