GCD of 450, 747, 540, 142 Calculator

Given Input numbers are 450, 747, 540, 142

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (450, 747, 540, 142) = 1.

Given numbers are 450, 747, 540, 142

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 142 are 2 x 71

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

Given numbers are 450, 747, 540, 142

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

Apply this formula for all numbers.

Step1:

LCM(450, 747) = 37350

GCD(450, 747) = ( 450 x 747 ) / 37350

= 450 / 747

= 450

Step2:

LCM(9, 540) = 540

GCD(9, 540) = ( 9 x 540 ) / 540

= 9 / 540

= 9

Step3:

LCM(9, 142) = 1278

GCD(9, 142) = ( 9 x 142 ) / 1278

= 9 / 142

= 9

So, Greatest Common Divisor of 450, 747, 540, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 194, 791, 762
• GCD of 608, 318, 967, 754
• GCD of 907, 932, 557, 302
• GCD of 260, 822, 244, 420
• GCD of 477, 447, 229, 767

Given numbers are 450, 747, 540, 142
The greatest common divisor of numbers 450, 747, 540, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 747, 540, 142 is 1.

1. What is the GCD of 450, 747, 540, 142?

GCD of given numbers 450, 747, 540, 142 is 1

2. How to calculate the greatest common divisor of 450, 747, 540, 142?

We can find the highest common divisor of 450, 747, 540, 142 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 450, 747, 540, 142 i.e 1.

3. How can I use the GCD of 450, 747, 540, 142Calculator?

Out the numbers 450, 747, 540, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.