GCD of 734, 120, 560, 689 Calculator

Given Input numbers are 734, 120, 560, 689

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

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 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (734, 120, 560, 689) = 1.

Given numbers are 734, 120, 560, 689

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 689 are 13 x 53

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

Given numbers are 734, 120, 560, 689

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

Apply this formula for all numbers.

Step1:

LCM(734, 120) = 44040

GCD(734, 120) = ( 734 x 120 ) / 44040

= 734 / 120

= 734

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 689) = 1378

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

= 2 / 689

= 2

So, Greatest Common Divisor of 734, 120, 560, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 114, 795, 809
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Given numbers are 734, 120, 560, 689
The greatest common divisor of numbers 734, 120, 560, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 120, 560, 689 is 1.

1. What is the GCD of 734, 120, 560, 689?

GCD of given numbers 734, 120, 560, 689 is 1

2. How to calculate the greatest common divisor of 734, 120, 560, 689?

We can find the highest common divisor of 734, 120, 560, 689 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 734, 120, 560, 689 i.e 1.

3. How can I use the GCD of 734, 120, 560, 689Calculator?

Out the numbers 734, 120, 560, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.