GCD of 708, 278, 489, 784 Calculator

Given Input numbers are 708, 278, 489, 784

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (708, 278, 489, 784) = 1.

Given numbers are 708, 278, 489, 784

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 278 are 2 x 139

Prime factors of 489 are 3 x 163

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 708, 278, 489, 784

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

Apply this formula for all numbers.

Step1:

LCM(708, 278) = 98412

GCD(708, 278) = ( 708 x 278 ) / 98412

= 708 / 278

= 708

Step2:

LCM(2, 489) = 978

GCD(2, 489) = ( 2 x 489 ) / 978

= 2 / 489

= 2

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 708, 278, 489, 784 is 1

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Given numbers are 708, 278, 489, 784
The greatest common divisor of numbers 708, 278, 489, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 278, 489, 784 is 1.

1. What is the GCD of 708, 278, 489, 784?

GCD of given numbers 708, 278, 489, 784 is 1

2. How to calculate the greatest common divisor of 708, 278, 489, 784?

We can find the highest common divisor of 708, 278, 489, 784 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 708, 278, 489, 784 i.e 1.

3. How can I use the GCD of 708, 278, 489, 784Calculator?

Out the numbers 708, 278, 489, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.