GCD of 109, 138, 370, 894 Calculator

Given Input numbers are 109, 138, 370, 894

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

Divisors of 109 :

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

1, 109

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 370 :

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

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

Divisors of 894 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (109, 138, 370, 894) = 1.

Given numbers are 109, 138, 370, 894

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 138 are 2 x 3 x 23

Prime factors of 370 are 2 x 5 x 37

Prime factors of 894 are 2 x 3 x 149

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

Given numbers are 109, 138, 370, 894

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

Apply this formula for all numbers.

Step1:

LCM(109, 138) = 15042

GCD(109, 138) = ( 109 x 138 ) / 15042

= 109 / 138

= 109

Step2:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1

Step3:

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

= 1 / 894

= 1

So, Greatest Common Divisor of 109, 138, 370, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 595, 242, 973
• GCD of 156, 686, 487, 326
• GCD of 660, 224, 980, 301
• GCD of 492, 874, 256, 122
• GCD of 434, 253, 906, 455

Given numbers are 109, 138, 370, 894
The greatest common divisor of numbers 109, 138, 370, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 138, 370, 894 is 1.

1. What is the GCD of 109, 138, 370, 894?

GCD of given numbers 109, 138, 370, 894 is 1

2. How to calculate the greatest common divisor of 109, 138, 370, 894?

We can find the highest common divisor of 109, 138, 370, 894 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 109, 138, 370, 894 i.e 1.

3. How can I use the GCD of 109, 138, 370, 894Calculator?

Out the numbers 109, 138, 370, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.