GCD of 670, 742, 406, 764 Calculator

Given Input numbers are 670, 742, 406, 764

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (670, 742, 406, 764) = 2.

Given numbers are 670, 742, 406, 764

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 742 are 2 x 7 x 53

Prime factors of 406 are 2 x 7 x 29

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 670, 742, 406, 764 is 2.

Given numbers are 670, 742, 406, 764

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

Apply this formula for all numbers.

Step1:

LCM(670, 742) = 248570

GCD(670, 742) = ( 670 x 742 ) / 248570

= 670 / 742

= 670

Step2:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 670, 742, 406, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 113, 636, 504
• GCD of 783, 984, 247, 229
• GCD of 603, 522, 293, 452
• GCD of 108, 941, 598, 417
• GCD of 539, 167, 871, 458

Given numbers are 670, 742, 406, 764
The greatest common divisor of numbers 670, 742, 406, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 742, 406, 764 is 2.

1. What is the GCD of 670, 742, 406, 764?

GCD of given numbers 670, 742, 406, 764 is 2

2. How to calculate the greatest common divisor of 670, 742, 406, 764?

We can find the highest common divisor of 670, 742, 406, 764 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 670, 742, 406, 764 i.e 2.

3. How can I use the GCD of 670, 742, 406, 764Calculator?

Out the numbers 670, 742, 406, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.