GCD of 689, 298, 825, 947 Calculator

Given Input numbers are 689, 298, 825, 947

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

GCD of numbers is the greatest common divisor

So, the GCD (689, 298, 825, 947) = 1.

Given numbers are 689, 298, 825, 947

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 298 are 2 x 149

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 947 are 947

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

Given numbers are 689, 298, 825, 947

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

Apply this formula for all numbers.

Step1:

LCM(689, 298) = 205322

GCD(689, 298) = ( 689 x 298 ) / 205322

= 689 / 298

= 689

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1

So, Greatest Common Divisor of 689, 298, 825, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 422, 204, 673
• GCD of 299, 521, 858, 439
• GCD of 772, 398, 484, 708
• GCD of 547, 689, 296, 381
• GCD of 714, 238, 196, 575

Given numbers are 689, 298, 825, 947
The greatest common divisor of numbers 689, 298, 825, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 298, 825, 947 is 1.

1. What is the GCD of 689, 298, 825, 947?

GCD of given numbers 689, 298, 825, 947 is 1

2. How to calculate the greatest common divisor of 689, 298, 825, 947?

We can find the highest common divisor of 689, 298, 825, 947 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 689, 298, 825, 947 i.e 1.

3. How can I use the GCD of 689, 298, 825, 947Calculator?

Out the numbers 689, 298, 825, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.