GCD of 691, 825, 360, 842 Calculator

Given Input numbers are 691, 825, 360, 842

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

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (691, 825, 360, 842) = 1.

Given numbers are 691, 825, 360, 842

The list of prime factors of all numbers are

Prime factors of 691 are 691

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 842 are 2 x 421

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

Given numbers are 691, 825, 360, 842

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

Apply this formula for all numbers.

Step1:

LCM(691, 825) = 570075

GCD(691, 825) = ( 691 x 825 ) / 570075

= 691 / 825

= 691

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

So, Greatest Common Divisor of 691, 825, 360, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 953, 391, 592
• GCD of 805, 287, 950, 648
• GCD of 609, 172, 696, 792
• GCD of 459, 171, 348, 237
• GCD of 744, 553, 686, 889

Given numbers are 691, 825, 360, 842
The greatest common divisor of numbers 691, 825, 360, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 825, 360, 842 is 1.

1. What is the GCD of 691, 825, 360, 842?

GCD of given numbers 691, 825, 360, 842 is 1

2. How to calculate the greatest common divisor of 691, 825, 360, 842?

We can find the highest common divisor of 691, 825, 360, 842 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 691, 825, 360, 842 i.e 1.

3. How can I use the GCD of 691, 825, 360, 842Calculator?

Out the numbers 691, 825, 360, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.