GCD of 971, 968, 498, 823 Calculator

Given Input numbers are 971, 968, 498, 823

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (971, 968, 498, 823) = 1.

Given numbers are 971, 968, 498, 823

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 498 are 2 x 3 x 83

Prime factors of 823 are 823

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

Given numbers are 971, 968, 498, 823

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

Apply this formula for all numbers.

Step1:

LCM(971, 968) = 939928

GCD(971, 968) = ( 971 x 968 ) / 939928

= 971 / 968

= 971

Step2:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 971, 968, 498, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 720, 469, 172
• GCD of 447, 747, 430, 611
• GCD of 570, 770, 306, 457
• GCD of 311, 324, 494, 367
• GCD of 560, 112, 777, 999

Given numbers are 971, 968, 498, 823
The greatest common divisor of numbers 971, 968, 498, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 968, 498, 823 is 1.

1. What is the GCD of 971, 968, 498, 823?

GCD of given numbers 971, 968, 498, 823 is 1

2. How to calculate the greatest common divisor of 971, 968, 498, 823?

We can find the highest common divisor of 971, 968, 498, 823 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 971, 968, 498, 823 i.e 1.

3. How can I use the GCD of 971, 968, 498, 823Calculator?

Out the numbers 971, 968, 498, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.