GCD of 689, 463, 307, 952 Calculator

Given Input numbers are 689, 463, 307, 952

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 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (689, 463, 307, 952) = 1.

Given numbers are 689, 463, 307, 952

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 463 are 463

Prime factors of 307 are 307

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Given numbers are 689, 463, 307, 952

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

Apply this formula for all numbers.

Step1:

LCM(689, 463) = 319007

GCD(689, 463) = ( 689 x 463 ) / 319007

= 689 / 463

= 689

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 689, 463, 307, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 670, 601, 963
• GCD of 669, 633, 890, 660
• GCD of 551, 583, 413, 114
• GCD of 361, 776, 698, 526
• GCD of 800, 578, 943, 605

Given numbers are 689, 463, 307, 952
The greatest common divisor of numbers 689, 463, 307, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 463, 307, 952 is 1.

1. What is the GCD of 689, 463, 307, 952?

GCD of given numbers 689, 463, 307, 952 is 1

2. How to calculate the greatest common divisor of 689, 463, 307, 952?

We can find the highest common divisor of 689, 463, 307, 952 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, 463, 307, 952 i.e 1.

3. How can I use the GCD of 689, 463, 307, 952Calculator?

Out the numbers 689, 463, 307, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.