GCD of 118, 624, 409, 144 Calculator

Given Input numbers are 118, 624, 409, 144

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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 (118, 624, 409, 144) = 1.

Given numbers are 118, 624, 409, 144

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 409 are 409

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 118, 624, 409, 144

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

Apply this formula for all numbers.

Step1:

LCM(118, 624) = 36816

GCD(118, 624) = ( 118 x 624 ) / 36816

= 118 / 624

= 118

Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

Step3:

LCM(1, 144) = 144

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

= 1 / 144

= 1

So, Greatest Common Divisor of 118, 624, 409, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 694, 749, 404
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• GCD of 213, 100, 459, 347
• GCD of 890, 406, 224, 320
• GCD of 881, 280, 762, 663

Given numbers are 118, 624, 409, 144
The greatest common divisor of numbers 118, 624, 409, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 624, 409, 144 is 1.

1. What is the GCD of 118, 624, 409, 144?

GCD of given numbers 118, 624, 409, 144 is 1

2. How to calculate the greatest common divisor of 118, 624, 409, 144?

We can find the highest common divisor of 118, 624, 409, 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 118, 624, 409, 144 i.e 1.

3. How can I use the GCD of 118, 624, 409, 144Calculator?

Out the numbers 118, 624, 409, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.