GCD of 361, 802, 743, 800 Calculator

Given Input numbers are 361, 802, 743, 800

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (361, 802, 743, 800) = 1.

Given numbers are 361, 802, 743, 800

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 802 are 2 x 401

Prime factors of 743 are 743

Prime factors of 800 are 2 x 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 361, 802, 743, 800

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

Apply this formula for all numbers.

Step1:

LCM(361, 802) = 289522

GCD(361, 802) = ( 361 x 802 ) / 289522

= 361 / 802

= 361

Step2:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 361, 802, 743, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 266, 546, 961
• GCD of 761, 337, 474, 581
• GCD of 666, 661, 688, 993
• GCD of 430, 652, 590, 195
• GCD of 967, 871, 799, 381

Given numbers are 361, 802, 743, 800
The greatest common divisor of numbers 361, 802, 743, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 802, 743, 800 is 1.

1. What is the GCD of 361, 802, 743, 800?

GCD of given numbers 361, 802, 743, 800 is 1

2. How to calculate the greatest common divisor of 361, 802, 743, 800?

We can find the highest common divisor of 361, 802, 743, 800 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 361, 802, 743, 800 i.e 1.

3. How can I use the GCD of 361, 802, 743, 800Calculator?

Out the numbers 361, 802, 743, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.