GCD of 800, 349, 858, 940 Calculator

Given Input numbers are 800, 349, 858, 940

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

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (800, 349, 858, 940) = 1.

Given numbers are 800, 349, 858, 940

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 349 are 349

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 800, 349, 858, 940

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

Apply this formula for all numbers.

Step1:

LCM(800, 349) = 279200

GCD(800, 349) = ( 800 x 349 ) / 279200

= 800 / 349

= 800

Step2:

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

= 1 / 858

= 1

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 800, 349, 858, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 365, 440, 769
• GCD of 165, 837, 997, 344
• GCD of 419, 603, 610, 896
• GCD of 151, 209, 688, 993
• GCD of 247, 787, 138, 641

Given numbers are 800, 349, 858, 940
The greatest common divisor of numbers 800, 349, 858, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 349, 858, 940 is 1.

1. What is the GCD of 800, 349, 858, 940?

GCD of given numbers 800, 349, 858, 940 is 1

2. How to calculate the greatest common divisor of 800, 349, 858, 940?

We can find the highest common divisor of 800, 349, 858, 940 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 800, 349, 858, 940 i.e 1.

3. How can I use the GCD of 800, 349, 858, 940Calculator?

Out the numbers 800, 349, 858, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.