GCD of 400, 220, 155, 343 Calculator

Given Input numbers are 400, 220, 155, 343

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (400, 220, 155, 343) = 1.

Given numbers are 400, 220, 155, 343

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 220 are 2 x 2 x 5 x 11

Prime factors of 155 are 5 x 31

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 400, 220, 155, 343

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

Apply this formula for all numbers.

Step1:

LCM(400, 220) = 4400

GCD(400, 220) = ( 400 x 220 ) / 4400

= 400 / 220

= 400

Step2:

LCM(20, 155) = 620

GCD(20, 155) = ( 20 x 155 ) / 620

= 20 / 155

= 20

Step3:

LCM(5, 343) = 1715

GCD(5, 343) = ( 5 x 343 ) / 1715

= 5 / 343

= 5

So, Greatest Common Divisor of 400, 220, 155, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 155, 808, 717
• GCD of 705, 494, 143, 707
• GCD of 302, 104, 431, 300
• GCD of 526, 562, 417, 504
• GCD of 215, 438, 116, 347

Given numbers are 400, 220, 155, 343
The greatest common divisor of numbers 400, 220, 155, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 220, 155, 343 is 1.

1. What is the GCD of 400, 220, 155, 343?

GCD of given numbers 400, 220, 155, 343 is 1

2. How to calculate the greatest common divisor of 400, 220, 155, 343?

We can find the highest common divisor of 400, 220, 155, 343 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, 220, 155, 343 i.e 1.

3. How can I use the GCD of 400, 220, 155, 343Calculator?

Out the numbers 400, 220, 155, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.