GCD of 820, 478, 972, 967 Calculator

Given Input numbers are 820, 478, 972, 967

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (820, 478, 972, 967) = 1.

Given numbers are 820, 478, 972, 967

The list of prime factors of all numbers are

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

Prime factors of 478 are 2 x 239

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 967 are 967

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

Given numbers are 820, 478, 972, 967

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

Apply this formula for all numbers.

Step1:

LCM(820, 478) = 195980

GCD(820, 478) = ( 820 x 478 ) / 195980

= 820 / 478

= 820

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2

So, Greatest Common Divisor of 820, 478, 972, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 728, 768, 532
• GCD of 671, 922, 775, 573
• GCD of 548, 737, 804, 895
• GCD of 814, 701, 653, 914
• GCD of 125, 709, 877, 388

Given numbers are 820, 478, 972, 967
The greatest common divisor of numbers 820, 478, 972, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 478, 972, 967 is 1.

1. What is the GCD of 820, 478, 972, 967?

GCD of given numbers 820, 478, 972, 967 is 1

2. How to calculate the greatest common divisor of 820, 478, 972, 967?

We can find the highest common divisor of 820, 478, 972, 967 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, 478, 972, 967 i.e 1.

3. How can I use the GCD of 820, 478, 972, 967Calculator?

Out the numbers 820, 478, 972, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.