GCD of 362, 416, 406, 700 Calculator

Given Input numbers are 362, 416, 406, 700

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 406 :

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

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (362, 416, 406, 700) = 2.

Given numbers are 362, 416, 406, 700

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 406 are 2 x 7 x 29

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 362, 416, 406, 700 is 2.

Given numbers are 362, 416, 406, 700

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

Apply this formula for all numbers.

Step1:

LCM(362, 416) = 75296

GCD(362, 416) = ( 362 x 416 ) / 75296

= 362 / 416

= 362

Step2:

LCM(2, 406) = 406

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

= 2 / 406

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 362, 416, 406, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 544, 426, 770
• GCD of 697, 452, 405, 884
• GCD of 957, 709, 228, 721
• GCD of 274, 659, 649, 107
• GCD of 187, 596, 707, 235

Given numbers are 362, 416, 406, 700
The greatest common divisor of numbers 362, 416, 406, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 416, 406, 700 is 2.

1. What is the GCD of 362, 416, 406, 700?

GCD of given numbers 362, 416, 406, 700 is 2

2. How to calculate the greatest common divisor of 362, 416, 406, 700?

We can find the highest common divisor of 362, 416, 406, 700 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 362, 416, 406, 700 i.e 2.

3. How can I use the GCD of 362, 416, 406, 700Calculator?

Out the numbers 362, 416, 406, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.