GCD of 105, 699, 718, 400 Calculator

Given Input numbers are 105, 699, 718, 400

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 699, 718, 400) = 1.

Given numbers are 105, 699, 718, 400

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 699 are 3 x 233

Prime factors of 718 are 2 x 359

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

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

Given numbers are 105, 699, 718, 400

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

Apply this formula for all numbers.

Step1:

LCM(105, 699) = 24465

GCD(105, 699) = ( 105 x 699 ) / 24465

= 105 / 699

= 105

Step2:

LCM(3, 718) = 2154

GCD(3, 718) = ( 3 x 718 ) / 2154

= 3 / 718

= 3

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 105, 699, 718, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 647, 915, 392
• GCD of 377, 175, 710, 841
• GCD of 664, 269, 861, 256
• GCD of 548, 974, 606, 898
• GCD of 153, 170, 588, 444

Given numbers are 105, 699, 718, 400
The greatest common divisor of numbers 105, 699, 718, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 699, 718, 400 is 1.

1. What is the GCD of 105, 699, 718, 400?

GCD of given numbers 105, 699, 718, 400 is 1

2. How to calculate the greatest common divisor of 105, 699, 718, 400?

We can find the highest common divisor of 105, 699, 718, 400 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 105, 699, 718, 400 i.e 1.

3. How can I use the GCD of 105, 699, 718, 400Calculator?

Out the numbers 105, 699, 718, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.