GCD of 820, 507, 966, 958 Calculator

Given Input numbers are 820, 507, 966, 958

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

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (820, 507, 966, 958) = 1.

Given numbers are 820, 507, 966, 958

The list of prime factors of all numbers are

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

Prime factors of 507 are 3 x 13 x 13

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 958 are 2 x 479

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

Given numbers are 820, 507, 966, 958

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

Apply this formula for all numbers.

Step1:

LCM(820, 507) = 415740

GCD(820, 507) = ( 820 x 507 ) / 415740

= 820 / 507

= 820

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1

So, Greatest Common Divisor of 820, 507, 966, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 458, 753, 177
• GCD of 521, 737, 752, 624
• GCD of 959, 648, 632, 821
• GCD of 415, 267, 790, 865
• GCD of 489, 672, 857, 298

Given numbers are 820, 507, 966, 958
The greatest common divisor of numbers 820, 507, 966, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 507, 966, 958 is 1.

1. What is the GCD of 820, 507, 966, 958?

GCD of given numbers 820, 507, 966, 958 is 1

2. How to calculate the greatest common divisor of 820, 507, 966, 958?

We can find the highest common divisor of 820, 507, 966, 958 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 820, 507, 966, 958 i.e 1.

3. How can I use the GCD of 820, 507, 966, 958Calculator?

Out the numbers 820, 507, 966, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.