GCD of 830, 478, 106, 972 Calculator

Given Input numbers are 830, 478, 106, 972

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 478 :

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

1, 2, 239, 478

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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

GCD of numbers is the greatest common divisor

So, the GCD (830, 478, 106, 972) = 2.

Given numbers are 830, 478, 106, 972

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 478 are 2 x 239

Prime factors of 106 are 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 830, 478, 106, 972 is 2.

Given numbers are 830, 478, 106, 972

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

Apply this formula for all numbers.

Step1:

LCM(830, 478) = 198370

GCD(830, 478) = ( 830 x 478 ) / 198370

= 830 / 478

= 830

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 972) = 972

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

= 2 / 972

= 2

So, Greatest Common Divisor of 830, 478, 106, 972 is 2

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• GCD of 195, 471, 518, 623
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Given numbers are 830, 478, 106, 972
The greatest common divisor of numbers 830, 478, 106, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 478, 106, 972 is 2.

1. What is the GCD of 830, 478, 106, 972?

GCD of given numbers 830, 478, 106, 972 is 2

2. How to calculate the greatest common divisor of 830, 478, 106, 972?

We can find the highest common divisor of 830, 478, 106, 972 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 830, 478, 106, 972 i.e 2.

3. How can I use the GCD of 830, 478, 106, 972Calculator?

Out the numbers 830, 478, 106, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.