GCD of 712, 160, 687, 402 Calculator

Given Input numbers are 712, 160, 687, 402

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (712, 160, 687, 402) = 1.

Given numbers are 712, 160, 687, 402

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 687 are 3 x 229

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 712, 160, 687, 402

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

Apply this formula for all numbers.

Step1:

LCM(712, 160) = 14240

GCD(712, 160) = ( 712 x 160 ) / 14240

= 712 / 160

= 712

Step2:

LCM(8, 687) = 5496

GCD(8, 687) = ( 8 x 687 ) / 5496

= 8 / 687

= 8

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 712, 160, 687, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 167, 166, 385
• GCD of 180, 375, 532, 164
• GCD of 701, 594, 399, 758
• GCD of 655, 494, 572, 812
• GCD of 499, 824, 622, 675

Given numbers are 712, 160, 687, 402
The greatest common divisor of numbers 712, 160, 687, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 160, 687, 402 is 1.

1. What is the GCD of 712, 160, 687, 402?

GCD of given numbers 712, 160, 687, 402 is 1

2. How to calculate the greatest common divisor of 712, 160, 687, 402?

We can find the highest common divisor of 712, 160, 687, 402 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, 160, 687, 402 i.e 1.

3. How can I use the GCD of 712, 160, 687, 402Calculator?

Out the numbers 712, 160, 687, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.