GCD of 780, 822, 897, 726 Calculator

Given Input numbers are 780, 822, 897, 726

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (780, 822, 897, 726) = 3.

Given numbers are 780, 822, 897, 726

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 822 are 2 x 3 x 137

Prime factors of 897 are 3 x 13 x 23

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 780, 822, 897, 726 is 3.

Given numbers are 780, 822, 897, 726

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

Apply this formula for all numbers.

Step1:

LCM(780, 822) = 106860

GCD(780, 822) = ( 780 x 822 ) / 106860

= 780 / 822

= 780

Step2:

LCM(6, 897) = 1794

GCD(6, 897) = ( 6 x 897 ) / 1794

= 6 / 897

= 6

Step3:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

So, Greatest Common Divisor of 780, 822, 897, 726 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 901, 242, 295
• GCD of 347, 922, 507, 472
• GCD of 306, 742, 383, 495
• GCD of 574, 270, 454, 847
• GCD of 827, 709, 665, 488

Given numbers are 780, 822, 897, 726
The greatest common divisor of numbers 780, 822, 897, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 822, 897, 726 is 3.

1. What is the GCD of 780, 822, 897, 726?

GCD of given numbers 780, 822, 897, 726 is 3

2. How to calculate the greatest common divisor of 780, 822, 897, 726?

We can find the highest common divisor of 780, 822, 897, 726 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 780, 822, 897, 726 i.e 3.

3. How can I use the GCD of 780, 822, 897, 726Calculator?

Out the numbers 780, 822, 897, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.