GCD of 402, 270, 656, 709 Calculator

Given Input numbers are 402, 270, 656, 709

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

Divisors of 402 :

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

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (402, 270, 656, 709) = 1.

Given numbers are 402, 270, 656, 709

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 709 are 709

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

Given numbers are 402, 270, 656, 709

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

Apply this formula for all numbers.

Step1:

LCM(402, 270) = 18090

GCD(402, 270) = ( 402 x 270 ) / 18090

= 402 / 270

= 402

Step2:

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

= 6 / 656

= 6

Step3:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

So, Greatest Common Divisor of 402, 270, 656, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 823, 775, 704
• GCD of 238, 740, 126, 734
• GCD of 380, 233, 904, 361
• GCD of 531, 884, 950, 519
• GCD of 367, 627, 281, 529

Given numbers are 402, 270, 656, 709
The greatest common divisor of numbers 402, 270, 656, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 270, 656, 709 is 1.

1. What is the GCD of 402, 270, 656, 709?

GCD of given numbers 402, 270, 656, 709 is 1

2. How to calculate the greatest common divisor of 402, 270, 656, 709?

We can find the highest common divisor of 402, 270, 656, 709 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 402, 270, 656, 709 i.e 1.

3. How can I use the GCD of 402, 270, 656, 709Calculator?

Out the numbers 402, 270, 656, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.