GCD of 952, 838, 412, 109 Calculator

Given Input numbers are 952, 838, 412, 109

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 (952, 838, 412, 109) = 1.

Given numbers are 952, 838, 412, 109

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 838 are 2 x 419

Prime factors of 412 are 2 x 2 x 103

Prime factors of 109 are 109

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

Given numbers are 952, 838, 412, 109

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

Apply this formula for all numbers.

Step1:

LCM(952, 838) = 398888

GCD(952, 838) = ( 952 x 838 ) / 398888

= 952 / 838

= 952

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 109) = 218

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

= 2 / 109

= 2

So, Greatest Common Divisor of 952, 838, 412, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 922, 865, 896
• GCD of 855, 550, 781, 633
• GCD of 581, 927, 127, 636
• GCD of 184, 367, 908, 828
• GCD of 712, 252, 300, 775

Given numbers are 952, 838, 412, 109
The greatest common divisor of numbers 952, 838, 412, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 838, 412, 109 is 1.

1. What is the GCD of 952, 838, 412, 109?

GCD of given numbers 952, 838, 412, 109 is 1

2. How to calculate the greatest common divisor of 952, 838, 412, 109?

We can find the highest common divisor of 952, 838, 412, 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 952, 838, 412, 109 i.e 1.

3. How can I use the GCD of 952, 838, 412, 109Calculator?

Out the numbers 952, 838, 412, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.