GCD of 400, 340, 370, 523 Calculator

Given Input numbers are 400, 340, 370, 523

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 340 :

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

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (400, 340, 370, 523) = 1.

Given numbers are 400, 340, 370, 523

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 340 are 2 x 2 x 5 x 17

Prime factors of 370 are 2 x 5 x 37

Prime factors of 523 are 523

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

Given numbers are 400, 340, 370, 523

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

Apply this formula for all numbers.

Step1:

LCM(400, 340) = 6800

GCD(400, 340) = ( 400 x 340 ) / 6800

= 400 / 340

= 400

Step2:

LCM(20, 370) = 740

GCD(20, 370) = ( 20 x 370 ) / 740

= 20 / 370

= 20

Step3:

LCM(10, 523) = 5230

GCD(10, 523) = ( 10 x 523 ) / 5230

= 10 / 523

= 10

So, Greatest Common Divisor of 400, 340, 370, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 713, 970, 167
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• GCD of 309, 375, 866, 257
• GCD of 809, 256, 348, 213
• GCD of 554, 589, 431, 366

Given numbers are 400, 340, 370, 523
The greatest common divisor of numbers 400, 340, 370, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 340, 370, 523 is 1.

1. What is the GCD of 400, 340, 370, 523?

GCD of given numbers 400, 340, 370, 523 is 1

2. How to calculate the greatest common divisor of 400, 340, 370, 523?

We can find the highest common divisor of 400, 340, 370, 523 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, 340, 370, 523 i.e 1.

3. How can I use the GCD of 400, 340, 370, 523Calculator?

Out the numbers 400, 340, 370, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.