GCD of 154, 624, 894, 109 Calculator

Given Input numbers are 154, 624, 894, 109

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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 (154, 624, 894, 109) = 1.

Given numbers are 154, 624, 894, 109

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

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

Prime factors of 894 are 2 x 3 x 149

Prime factors of 109 are 109

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

Given numbers are 154, 624, 894, 109

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

Apply this formula for all numbers.

Step1:

LCM(154, 624) = 48048

GCD(154, 624) = ( 154 x 624 ) / 48048

= 154 / 624

= 154

Step2:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

Step3:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

So, Greatest Common Divisor of 154, 624, 894, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 219, 826, 384
• GCD of 498, 177, 315, 951
• GCD of 904, 558, 728, 234
• GCD of 272, 901, 743, 588
• GCD of 520, 618, 777, 259

Given numbers are 154, 624, 894, 109
The greatest common divisor of numbers 154, 624, 894, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 624, 894, 109 is 1.

1. What is the GCD of 154, 624, 894, 109?

GCD of given numbers 154, 624, 894, 109 is 1

2. How to calculate the greatest common divisor of 154, 624, 894, 109?

We can find the highest common divisor of 154, 624, 894, 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 154, 624, 894, 109 i.e 1.

3. How can I use the GCD of 154, 624, 894, 109Calculator?

Out the numbers 154, 624, 894, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.