GCD of 992, 970, 976, 240 Calculator

Given Input numbers are 992, 970, 976, 240

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

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

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

GCD of numbers is the greatest common divisor

So, the GCD (992, 970, 976, 240) = 2.

Given numbers are 992, 970, 976, 240

The list of prime factors of all numbers are

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

Prime factors of 970 are 2 x 5 x 97

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

The highest common occurrence is 2¹

Therefore, GCD of 992, 970, 976, 240 is 2.

Given numbers are 992, 970, 976, 240

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

Apply this formula for all numbers.

Step1:

LCM(992, 970) = 481120

GCD(992, 970) = ( 992 x 970 ) / 481120

= 992 / 970

= 992

Step2:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 992, 970, 976, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 362, 891, 309
• GCD of 638, 797, 462, 933
• GCD of 281, 104, 245, 283
• GCD of 916, 181, 379, 347
• GCD of 584, 397, 892, 120

Given numbers are 992, 970, 976, 240
The greatest common divisor of numbers 992, 970, 976, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 970, 976, 240 is 2.

1. What is the GCD of 992, 970, 976, 240?

GCD of given numbers 992, 970, 976, 240 is 2

2. How to calculate the greatest common divisor of 992, 970, 976, 240?

We can find the highest common divisor of 992, 970, 976, 240 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 992, 970, 976, 240 i.e 2.

3. How can I use the GCD of 992, 970, 976, 240Calculator?

Out the numbers 992, 970, 976, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.