GCD of 828, 770, 907, 723 Calculator

Given Input numbers are 828, 770, 907, 723

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (828, 770, 907, 723) = 1.

Given numbers are 828, 770, 907, 723

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 907 are 907

Prime factors of 723 are 3 x 241

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

Given numbers are 828, 770, 907, 723

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

Apply this formula for all numbers.

Step1:

LCM(828, 770) = 318780

GCD(828, 770) = ( 828 x 770 ) / 318780

= 828 / 770

= 828

Step2:

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

= 2 / 907

= 2

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 828, 770, 907, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 772, 744, 243
• GCD of 263, 436, 420, 382
• GCD of 209, 859, 130, 909
• GCD of 562, 449, 349, 916
• GCD of 538, 413, 956, 237

Given numbers are 828, 770, 907, 723
The greatest common divisor of numbers 828, 770, 907, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 770, 907, 723 is 1.

1. What is the GCD of 828, 770, 907, 723?

GCD of given numbers 828, 770, 907, 723 is 1

2. How to calculate the greatest common divisor of 828, 770, 907, 723?

We can find the highest common divisor of 828, 770, 907, 723 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 828, 770, 907, 723 i.e 1.

3. How can I use the GCD of 828, 770, 907, 723Calculator?

Out the numbers 828, 770, 907, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.