GCD of 109, 656, 205, 139 Calculator

Given Input numbers are 109, 656, 205, 139

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

GCD of numbers is the greatest common divisor

So, the GCD (109, 656, 205, 139) = 1.

Given numbers are 109, 656, 205, 139

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 205 are 5 x 41

Prime factors of 139 are 139

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

Given numbers are 109, 656, 205, 139

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

Apply this formula for all numbers.

Step1:

LCM(109, 656) = 71504

GCD(109, 656) = ( 109 x 656 ) / 71504

= 109 / 656

= 109

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

= 1 / 139

= 1

So, Greatest Common Divisor of 109, 656, 205, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 820, 765, 818
• GCD of 335, 979, 450, 802
• GCD of 204, 832, 852, 254
• GCD of 969, 685, 990, 637
• GCD of 143, 942, 194, 978

Given numbers are 109, 656, 205, 139
The greatest common divisor of numbers 109, 656, 205, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 656, 205, 139 is 1.

1. What is the GCD of 109, 656, 205, 139?

GCD of given numbers 109, 656, 205, 139 is 1

2. How to calculate the greatest common divisor of 109, 656, 205, 139?

We can find the highest common divisor of 109, 656, 205, 139 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, 656, 205, 139 i.e 1.

3. How can I use the GCD of 109, 656, 205, 139Calculator?

Out the numbers 109, 656, 205, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.