GCD of 144, 921, 509, 374 Calculator

Given Input numbers are 144, 921, 509, 374

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

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (144, 921, 509, 374) = 1.

Given numbers are 144, 921, 509, 374

The list of prime factors of all numbers are

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

Prime factors of 921 are 3 x 307

Prime factors of 509 are 509

Prime factors of 374 are 2 x 11 x 17

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

Given numbers are 144, 921, 509, 374

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

Apply this formula for all numbers.

Step1:

LCM(144, 921) = 44208

GCD(144, 921) = ( 144 x 921 ) / 44208

= 144 / 921

= 144

Step2:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

Step3:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

So, Greatest Common Divisor of 144, 921, 509, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 933, 864, 795
• GCD of 882, 944, 108, 803
• GCD of 551, 211, 562, 537
• GCD of 261, 976, 749, 777
• GCD of 177, 685, 892, 134

Given numbers are 144, 921, 509, 374
The greatest common divisor of numbers 144, 921, 509, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 921, 509, 374 is 1.

1. What is the GCD of 144, 921, 509, 374?

GCD of given numbers 144, 921, 509, 374 is 1

2. How to calculate the greatest common divisor of 144, 921, 509, 374?

We can find the highest common divisor of 144, 921, 509, 374 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 144, 921, 509, 374 i.e 1.

3. How can I use the GCD of 144, 921, 509, 374Calculator?

Out the numbers 144, 921, 509, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.