GCD of 370, 609, 144, 109 Calculator

Given Input numbers are 370, 609, 144, 109

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (370, 609, 144, 109) = 1.

Given numbers are 370, 609, 144, 109

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 609 are 3 x 7 x 29

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

Prime factors of 109 are 109

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

Given numbers are 370, 609, 144, 109

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

Apply this formula for all numbers.

Step1:

LCM(370, 609) = 225330

GCD(370, 609) = ( 370 x 609 ) / 225330

= 370 / 609

= 370

Step2:

LCM(1, 144) = 144

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

= 1 / 144

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 370, 609, 144, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 830, 413, 246
• GCD of 967, 147, 714, 980
• GCD of 598, 485, 871, 663
• GCD of 795, 661, 771, 848
• GCD of 242, 775, 967, 559

Given numbers are 370, 609, 144, 109
The greatest common divisor of numbers 370, 609, 144, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 609, 144, 109 is 1.

1. What is the GCD of 370, 609, 144, 109?

GCD of given numbers 370, 609, 144, 109 is 1

2. How to calculate the greatest common divisor of 370, 609, 144, 109?

We can find the highest common divisor of 370, 609, 144, 109 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 370, 609, 144, 109 i.e 1.

3. How can I use the GCD of 370, 609, 144, 109Calculator?

Out the numbers 370, 609, 144, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.