GCD of 992, 360, 948, 289 Calculator

Given Input numbers are 992, 360, 948, 289

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (992, 360, 948, 289) = 1.

Given numbers are 992, 360, 948, 289

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 992, 360, 948, 289

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

Apply this formula for all numbers.

Step1:

LCM(992, 360) = 44640

GCD(992, 360) = ( 992 x 360 ) / 44640

= 992 / 360

= 992

Step2:

LCM(8, 948) = 1896

GCD(8, 948) = ( 8 x 948 ) / 1896

= 8 / 948

= 8

Step3:

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

= 4 / 289

= 4

So, Greatest Common Divisor of 992, 360, 948, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 915, 501, 636
• GCD of 434, 327, 972, 530
• GCD of 669, 662, 441, 325
• GCD of 513, 120, 200, 244
• GCD of 234, 297, 953, 754

Given numbers are 992, 360, 948, 289
The greatest common divisor of numbers 992, 360, 948, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 360, 948, 289 is 1.

1. What is the GCD of 992, 360, 948, 289?

GCD of given numbers 992, 360, 948, 289 is 1

2. How to calculate the greatest common divisor of 992, 360, 948, 289?

We can find the highest common divisor of 992, 360, 948, 289 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, 360, 948, 289 i.e 1.

3. How can I use the GCD of 992, 360, 948, 289Calculator?

Out the numbers 992, 360, 948, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.