GCD of 314, 537, 141, 720 Calculator

Given Input numbers are 314, 537, 141, 720

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (314, 537, 141, 720) = 1.

Given numbers are 314, 537, 141, 720

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 537 are 3 x 179

Prime factors of 141 are 3 x 47

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 314, 537, 141, 720

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

Apply this formula for all numbers.

Step1:

LCM(314, 537) = 168618

GCD(314, 537) = ( 314 x 537 ) / 168618

= 314 / 537

= 314

Step2:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 314, 537, 141, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 281, 156, 608
• GCD of 787, 261, 575, 347
• GCD of 723, 122, 276, 611
• GCD of 983, 697, 356, 214
• GCD of 515, 865, 532, 768

Given numbers are 314, 537, 141, 720
The greatest common divisor of numbers 314, 537, 141, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 537, 141, 720 is 1.

1. What is the GCD of 314, 537, 141, 720?

GCD of given numbers 314, 537, 141, 720 is 1

2. How to calculate the greatest common divisor of 314, 537, 141, 720?

We can find the highest common divisor of 314, 537, 141, 720 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 314, 537, 141, 720 i.e 1.

3. How can I use the GCD of 314, 537, 141, 720Calculator?

Out the numbers 314, 537, 141, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.