GCD of 469, 311, 972, 882 Calculator

Given Input numbers are 469, 311, 972, 882

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (469, 311, 972, 882) = 1.

Given numbers are 469, 311, 972, 882

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 311 are 311

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Given numbers are 469, 311, 972, 882

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

Apply this formula for all numbers.

Step1:

LCM(469, 311) = 145859

GCD(469, 311) = ( 469 x 311 ) / 145859

= 469 / 311

= 469

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1

So, Greatest Common Divisor of 469, 311, 972, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 245, 895, 166
• GCD of 372, 711, 179, 779
• GCD of 249, 920, 440, 382
• GCD of 934, 549, 809, 350
• GCD of 947, 622, 268, 100

Given numbers are 469, 311, 972, 882
The greatest common divisor of numbers 469, 311, 972, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 311, 972, 882 is 1.

1. What is the GCD of 469, 311, 972, 882?

GCD of given numbers 469, 311, 972, 882 is 1

2. How to calculate the greatest common divisor of 469, 311, 972, 882?

We can find the highest common divisor of 469, 311, 972, 882 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 469, 311, 972, 882 i.e 1.

3. How can I use the GCD of 469, 311, 972, 882Calculator?

Out the numbers 469, 311, 972, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.