GCD of 514, 731, 667, 120 Calculator

Given Input numbers are 514, 731, 667, 120

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

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

GCD of numbers is the greatest common divisor

So, the GCD (514, 731, 667, 120) = 1.

Given numbers are 514, 731, 667, 120

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 731 are 17 x 43

Prime factors of 667 are 23 x 29

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

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

Given numbers are 514, 731, 667, 120

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

Apply this formula for all numbers.

Step1:

LCM(514, 731) = 375734

GCD(514, 731) = ( 514 x 731 ) / 375734

= 514 / 731

= 514

Step2:

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

= 1 / 667

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 514, 731, 667, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 847, 378, 828
• GCD of 859, 377, 200, 944
• GCD of 936, 346, 431, 842
• GCD of 100, 313, 176, 268
• GCD of 479, 684, 368, 210

Given numbers are 514, 731, 667, 120
The greatest common divisor of numbers 514, 731, 667, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 731, 667, 120 is 1.

1. What is the GCD of 514, 731, 667, 120?

GCD of given numbers 514, 731, 667, 120 is 1

2. How to calculate the greatest common divisor of 514, 731, 667, 120?

We can find the highest common divisor of 514, 731, 667, 120 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 514, 731, 667, 120 i.e 1.

3. How can I use the GCD of 514, 731, 667, 120Calculator?

Out the numbers 514, 731, 667, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.