GCD of 109, 293, 959, 842 Calculator

Given Input numbers are 109, 293, 959, 842

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 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (109, 293, 959, 842) = 1.

Given numbers are 109, 293, 959, 842

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 293 are 293

Prime factors of 959 are 7 x 137

Prime factors of 842 are 2 x 421

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

Given numbers are 109, 293, 959, 842

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

Apply this formula for all numbers.

Step1:

LCM(109, 293) = 31937

GCD(109, 293) = ( 109 x 293 ) / 31937

= 109 / 293

= 109

Step2:

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

= 1 / 959

= 1

Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

So, Greatest Common Divisor of 109, 293, 959, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 478, 290, 511
• GCD of 708, 741, 501, 364
• GCD of 897, 363, 341, 219
• GCD of 381, 679, 969, 803
• GCD of 464, 396, 549, 552

Given numbers are 109, 293, 959, 842
The greatest common divisor of numbers 109, 293, 959, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 293, 959, 842 is 1.

1. What is the GCD of 109, 293, 959, 842?

GCD of given numbers 109, 293, 959, 842 is 1

2. How to calculate the greatest common divisor of 109, 293, 959, 842?

We can find the highest common divisor of 109, 293, 959, 842 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, 293, 959, 842 i.e 1.

3. How can I use the GCD of 109, 293, 959, 842Calculator?

Out the numbers 109, 293, 959, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.