GCD of 478, 396, 689, 916 Calculator

Given Input numbers are 478, 396, 689, 916

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

Divisors of 478 :

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

1, 2, 239, 478

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (478, 396, 689, 916) = 1.

Given numbers are 478, 396, 689, 916

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 689 are 13 x 53

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 478, 396, 689, 916

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

Apply this formula for all numbers.

Step1:

LCM(478, 396) = 94644

GCD(478, 396) = ( 478 x 396 ) / 94644

= 478 / 396

= 478

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 478, 396, 689, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 689, 748, 584
• GCD of 428, 810, 846, 863
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• GCD of 632, 436, 693, 752

Given numbers are 478, 396, 689, 916
The greatest common divisor of numbers 478, 396, 689, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 396, 689, 916 is 1.

1. What is the GCD of 478, 396, 689, 916?

GCD of given numbers 478, 396, 689, 916 is 1

2. How to calculate the greatest common divisor of 478, 396, 689, 916?

We can find the highest common divisor of 478, 396, 689, 916 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 478, 396, 689, 916 i.e 1.

3. How can I use the GCD of 478, 396, 689, 916Calculator?

Out the numbers 478, 396, 689, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.