GCD of 124, 872, 209, 109 Calculator

Given Input numbers are 124, 872, 209, 109

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

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 (124, 872, 209, 109) = 1.

Given numbers are 124, 872, 209, 109

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 209 are 11 x 19

Prime factors of 109 are 109

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

Given numbers are 124, 872, 209, 109

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

Apply this formula for all numbers.

Step1:

LCM(124, 872) = 27032

GCD(124, 872) = ( 124 x 872 ) / 27032

= 124 / 872

= 124

Step2:

LCM(4, 209) = 836

GCD(4, 209) = ( 4 x 209 ) / 836

= 4 / 209

= 4

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 124, 872, 209, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 853, 783, 946
• GCD of 289, 926, 236, 758
• GCD of 134, 118, 935, 970
• GCD of 451, 533, 803, 755
• GCD of 906, 878, 716, 950

Given numbers are 124, 872, 209, 109
The greatest common divisor of numbers 124, 872, 209, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 872, 209, 109 is 1.

1. What is the GCD of 124, 872, 209, 109?

GCD of given numbers 124, 872, 209, 109 is 1

2. How to calculate the greatest common divisor of 124, 872, 209, 109?

We can find the highest common divisor of 124, 872, 209, 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 124, 872, 209, 109 i.e 1.

3. How can I use the GCD of 124, 872, 209, 109Calculator?

Out the numbers 124, 872, 209, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.