GCD of 112, 430, 689, 664 Calculator

Given Input numbers are 112, 430, 689, 664

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

GCD of numbers is the greatest common divisor

So, the GCD (112, 430, 689, 664) = 1.

Given numbers are 112, 430, 689, 664

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 430 are 2 x 5 x 43

Prime factors of 689 are 13 x 53

Prime factors of 664 are 2 x 2 x 2 x 83

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

Given numbers are 112, 430, 689, 664

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

Apply this formula for all numbers.

Step1:

LCM(112, 430) = 24080

GCD(112, 430) = ( 112 x 430 ) / 24080

= 112 / 430

= 112

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

= 1 / 664

= 1

So, Greatest Common Divisor of 112, 430, 689, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 830, 745, 486
• GCD of 986, 459, 787, 155
• GCD of 494, 994, 443, 643
• GCD of 134, 857, 257, 989
• GCD of 396, 443, 103, 765

Given numbers are 112, 430, 689, 664
The greatest common divisor of numbers 112, 430, 689, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 430, 689, 664 is 1.

1. What is the GCD of 112, 430, 689, 664?

GCD of given numbers 112, 430, 689, 664 is 1

2. How to calculate the greatest common divisor of 112, 430, 689, 664?

We can find the highest common divisor of 112, 430, 689, 664 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 112, 430, 689, 664 i.e 1.

3. How can I use the GCD of 112, 430, 689, 664Calculator?

Out the numbers 112, 430, 689, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.