GCD of 402, 716, 360, 730 Calculator

Given Input numbers are 402, 716, 360, 730

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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (402, 716, 360, 730) = 2.

Given numbers are 402, 716, 360, 730

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 716 are 2 x 2 x 179

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 402, 716, 360, 730 is 2.

Given numbers are 402, 716, 360, 730

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

Apply this formula for all numbers.

Step1:

LCM(402, 716) = 143916

GCD(402, 716) = ( 402 x 716 ) / 143916

= 402 / 716

= 402

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 402, 716, 360, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 379, 417, 459
• GCD of 768, 660, 398, 117
• GCD of 105, 530, 587, 906
• GCD of 274, 888, 731, 418
• GCD of 726, 918, 252, 114

Given numbers are 402, 716, 360, 730
The greatest common divisor of numbers 402, 716, 360, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 716, 360, 730 is 2.

1. What is the GCD of 402, 716, 360, 730?

GCD of given numbers 402, 716, 360, 730 is 2

2. How to calculate the greatest common divisor of 402, 716, 360, 730?

We can find the highest common divisor of 402, 716, 360, 730 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, 716, 360, 730 i.e 2.

3. How can I use the GCD of 402, 716, 360, 730Calculator?

Out the numbers 402, 716, 360, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.