GCD of 992, 560, 225, 349 Calculator

Given Input numbers are 992, 560, 225, 349

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (992, 560, 225, 349) = 1.

Given numbers are 992, 560, 225, 349

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 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 349 are 349

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

Given numbers are 992, 560, 225, 349

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

Apply this formula for all numbers.

Step1:

LCM(992, 560) = 34720

GCD(992, 560) = ( 992 x 560 ) / 34720

= 992 / 560

= 992

Step2:

LCM(16, 225) = 3600

GCD(16, 225) = ( 16 x 225 ) / 3600

= 16 / 225

= 16

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 992, 560, 225, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 273, 851, 886
• GCD of 608, 489, 364, 623
• GCD of 994, 369, 416, 504
• GCD of 988, 487, 331, 661
• GCD of 202, 352, 452, 653

Given numbers are 992, 560, 225, 349
The greatest common divisor of numbers 992, 560, 225, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 560, 225, 349 is 1.

1. What is the GCD of 992, 560, 225, 349?

GCD of given numbers 992, 560, 225, 349 is 1

2. How to calculate the greatest common divisor of 992, 560, 225, 349?

We can find the highest common divisor of 992, 560, 225, 349 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, 560, 225, 349 i.e 1.

3. How can I use the GCD of 992, 560, 225, 349Calculator?

Out the numbers 992, 560, 225, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.