GCD of 689, 200, 947, 745 Calculator

Given Input numbers are 689, 200, 947, 745

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 947 :

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

1, 947

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (689, 200, 947, 745) = 1.

Given numbers are 689, 200, 947, 745

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 947 are 947

Prime factors of 745 are 5 x 149

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

Given numbers are 689, 200, 947, 745

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

Apply this formula for all numbers.

Step1:

LCM(689, 200) = 137800

GCD(689, 200) = ( 689 x 200 ) / 137800

= 689 / 200

= 689

Step2:

LCM(1, 947) = 947

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

= 1 / 947

= 1

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 689, 200, 947, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 399, 754, 444
• GCD of 519, 833, 898, 542
• GCD of 206, 751, 496, 939
• GCD of 894, 776, 534, 320
• GCD of 645, 450, 845, 441

Given numbers are 689, 200, 947, 745
The greatest common divisor of numbers 689, 200, 947, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 200, 947, 745 is 1.

1. What is the GCD of 689, 200, 947, 745?

GCD of given numbers 689, 200, 947, 745 is 1

2. How to calculate the greatest common divisor of 689, 200, 947, 745?

We can find the highest common divisor of 689, 200, 947, 745 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, 200, 947, 745 i.e 1.

3. How can I use the GCD of 689, 200, 947, 745Calculator?

Out the numbers 689, 200, 947, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.