GCD of 400, 348, 357, 698 Calculator

Given Input numbers are 400, 348, 357, 698

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (400, 348, 357, 698) = 1.

Given numbers are 400, 348, 357, 698

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 348 are 2 x 2 x 3 x 29

Prime factors of 357 are 3 x 7 x 17

Prime factors of 698 are 2 x 349

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

Given numbers are 400, 348, 357, 698

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

Apply this formula for all numbers.

Step1:

LCM(400, 348) = 34800

GCD(400, 348) = ( 400 x 348 ) / 34800

= 400 / 348

= 400

Step2:

LCM(4, 357) = 1428

GCD(4, 357) = ( 4 x 357 ) / 1428

= 4 / 357

= 4

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 400, 348, 357, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 728, 536, 355
• GCD of 600, 372, 489, 897
• GCD of 126, 134, 397, 970
• GCD of 714, 853, 833, 310
• GCD of 430, 280, 340, 657

Given numbers are 400, 348, 357, 698
The greatest common divisor of numbers 400, 348, 357, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 348, 357, 698 is 1.

1. What is the GCD of 400, 348, 357, 698?

GCD of given numbers 400, 348, 357, 698 is 1

2. How to calculate the greatest common divisor of 400, 348, 357, 698?

We can find the highest common divisor of 400, 348, 357, 698 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, 348, 357, 698 i.e 1.

3. How can I use the GCD of 400, 348, 357, 698Calculator?

Out the numbers 400, 348, 357, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.