GCD of 400, 516, 626, 340 Calculator

Given Input numbers are 400, 516, 626, 340

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (400, 516, 626, 340) = 2.

Given numbers are 400, 516, 626, 340

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 516 are 2 x 2 x 3 x 43

Prime factors of 626 are 2 x 313

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 400, 516, 626, 340 is 2.

Given numbers are 400, 516, 626, 340

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

Apply this formula for all numbers.

Step1:

LCM(400, 516) = 51600

GCD(400, 516) = ( 400 x 516 ) / 51600

= 400 / 516

= 400

Step2:

LCM(4, 626) = 1252

GCD(4, 626) = ( 4 x 626 ) / 1252

= 4 / 626

= 4

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 400, 516, 626, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 831, 717, 139
• GCD of 422, 768, 435, 309
• GCD of 654, 997, 932, 268
• GCD of 868, 614, 524, 130
• GCD of 435, 797, 688, 678

Given numbers are 400, 516, 626, 340
The greatest common divisor of numbers 400, 516, 626, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 516, 626, 340 is 2.

1. What is the GCD of 400, 516, 626, 340?

GCD of given numbers 400, 516, 626, 340 is 2

2. How to calculate the greatest common divisor of 400, 516, 626, 340?

We can find the highest common divisor of 400, 516, 626, 340 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, 516, 626, 340 i.e 2.

3. How can I use the GCD of 400, 516, 626, 340Calculator?

Out the numbers 400, 516, 626, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.