GCD of 712, 460, 688, 655 Calculator

Given Input numbers are 712, 460, 688, 655

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

GCD of numbers is the greatest common divisor

So, the GCD (712, 460, 688, 655) = 1.

Given numbers are 712, 460, 688, 655

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 655 are 5 x 131

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

Given numbers are 712, 460, 688, 655

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

Apply this formula for all numbers.

Step1:

LCM(712, 460) = 81880

GCD(712, 460) = ( 712 x 460 ) / 81880

= 712 / 460

= 712

Step2:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

Step3:

LCM(4, 655) = 2620

GCD(4, 655) = ( 4 x 655 ) / 2620

= 4 / 655

= 4

So, Greatest Common Divisor of 712, 460, 688, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 215, 785, 909
• GCD of 414, 599, 871, 141
• GCD of 711, 489, 187, 354
• GCD of 999, 122, 587, 898
• GCD of 470, 665, 434, 602

Given numbers are 712, 460, 688, 655
The greatest common divisor of numbers 712, 460, 688, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 460, 688, 655 is 1.

1. What is the GCD of 712, 460, 688, 655?

GCD of given numbers 712, 460, 688, 655 is 1

2. How to calculate the greatest common divisor of 712, 460, 688, 655?

We can find the highest common divisor of 712, 460, 688, 655 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 712, 460, 688, 655 i.e 1.

3. How can I use the GCD of 712, 460, 688, 655Calculator?

Out the numbers 712, 460, 688, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.