GCD of 123, 820, 986, 953 Calculator

Given Input numbers are 123, 820, 986, 953

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (123, 820, 986, 953) = 1.

Given numbers are 123, 820, 986, 953

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 986 are 2 x 17 x 29

Prime factors of 953 are 953

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

Given numbers are 123, 820, 986, 953

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

Apply this formula for all numbers.

Step1:

LCM(123, 820) = 2460

GCD(123, 820) = ( 123 x 820 ) / 2460

= 123 / 820

= 123

Step2:

LCM(41, 986) = 40426

GCD(41, 986) = ( 41 x 986 ) / 40426

= 41 / 986

= 41

Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1

So, Greatest Common Divisor of 123, 820, 986, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 720, 991, 434
• GCD of 957, 805, 412, 749
• GCD of 425, 517, 343, 157
• GCD of 965, 140, 137, 730
• GCD of 802, 674, 597, 822

Given numbers are 123, 820, 986, 953
The greatest common divisor of numbers 123, 820, 986, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 820, 986, 953 is 1.

1. What is the GCD of 123, 820, 986, 953?

GCD of given numbers 123, 820, 986, 953 is 1

2. How to calculate the greatest common divisor of 123, 820, 986, 953?

We can find the highest common divisor of 123, 820, 986, 953 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 123, 820, 986, 953 i.e 1.

3. How can I use the GCD of 123, 820, 986, 953Calculator?

Out the numbers 123, 820, 986, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.