GCD of 803, 749, 892, 720 Calculator

Given Input numbers are 803, 749, 892, 720

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

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (803, 749, 892, 720) = 1.

Given numbers are 803, 749, 892, 720

The list of prime factors of all numbers are

Prime factors of 803 are 11 x 73

Prime factors of 749 are 7 x 107

Prime factors of 892 are 2 x 2 x 223

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 803, 749, 892, 720

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

Apply this formula for all numbers.

Step1:

LCM(803, 749) = 601447

GCD(803, 749) = ( 803 x 749 ) / 601447

= 803 / 749

= 803

Step2:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 803, 749, 892, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 650, 408, 576
• GCD of 294, 932, 181, 698
• GCD of 905, 739, 763, 707
• GCD of 884, 502, 516, 245
• GCD of 905, 844, 831, 527

Given numbers are 803, 749, 892, 720
The greatest common divisor of numbers 803, 749, 892, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 749, 892, 720 is 1.

1. What is the GCD of 803, 749, 892, 720?

GCD of given numbers 803, 749, 892, 720 is 1

2. How to calculate the greatest common divisor of 803, 749, 892, 720?

We can find the highest common divisor of 803, 749, 892, 720 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 803, 749, 892, 720 i.e 1.

3. How can I use the GCD of 803, 749, 892, 720Calculator?

Out the numbers 803, 749, 892, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.