GCD of 291, 537, 742, 144 Calculator

Given Input numbers are 291, 537, 742, 144

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 537 :

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

1, 3, 179, 537

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (291, 537, 742, 144) = 1.

Given numbers are 291, 537, 742, 144

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 537 are 3 x 179

Prime factors of 742 are 2 x 7 x 53

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 291, 537, 742, 144

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

Apply this formula for all numbers.

Step1:

LCM(291, 537) = 52089

GCD(291, 537) = ( 291 x 537 ) / 52089

= 291 / 537

= 291

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 291, 537, 742, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 176, 289, 946
• GCD of 720, 565, 505, 494
• GCD of 158, 237, 270, 559
• GCD of 817, 107, 665, 852
• GCD of 928, 996, 402, 949

Given numbers are 291, 537, 742, 144
The greatest common divisor of numbers 291, 537, 742, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 537, 742, 144 is 1.

1. What is the GCD of 291, 537, 742, 144?

GCD of given numbers 291, 537, 742, 144 is 1

2. How to calculate the greatest common divisor of 291, 537, 742, 144?

We can find the highest common divisor of 291, 537, 742, 144 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 291, 537, 742, 144 i.e 1.

3. How can I use the GCD of 291, 537, 742, 144Calculator?

Out the numbers 291, 537, 742, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.