GCD of 400, 346, 986, 722 Calculator

Given Input numbers are 400, 346, 986, 722

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (400, 346, 986, 722) = 2.

Given numbers are 400, 346, 986, 722

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 346 are 2 x 173

Prime factors of 986 are 2 x 17 x 29

Prime factors of 722 are 2 x 19 x 19

The highest common occurrence is 2¹

Therefore, GCD of 400, 346, 986, 722 is 2.

Given numbers are 400, 346, 986, 722

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

Apply this formula for all numbers.

Step1:

LCM(400, 346) = 69200

GCD(400, 346) = ( 400 x 346 ) / 69200

= 400 / 346

= 400

Step2:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

Step3:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

So, Greatest Common Divisor of 400, 346, 986, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 271, 621, 865
• GCD of 293, 737, 820, 432
• GCD of 198, 702, 499, 342
• GCD of 419, 649, 980, 956
• GCD of 562, 631, 257, 122

Given numbers are 400, 346, 986, 722
The greatest common divisor of numbers 400, 346, 986, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 346, 986, 722 is 2.

1. What is the GCD of 400, 346, 986, 722?

GCD of given numbers 400, 346, 986, 722 is 2

2. How to calculate the greatest common divisor of 400, 346, 986, 722?

We can find the highest common divisor of 400, 346, 986, 722 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 400, 346, 986, 722 i.e 2.

3. How can I use the GCD of 400, 346, 986, 722Calculator?

Out the numbers 400, 346, 986, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.