GCD of 829, 180, 918, 707 Calculator

Given Input numbers are 829, 180, 918, 707

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

GCD of numbers is the greatest common divisor

So, the GCD (829, 180, 918, 707) = 1.

Given numbers are 829, 180, 918, 707

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 707 are 7 x 101

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

Given numbers are 829, 180, 918, 707

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

Apply this formula for all numbers.

Step1:

LCM(829, 180) = 149220

GCD(829, 180) = ( 829 x 180 ) / 149220

= 829 / 180

= 829

Step2:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

Step3:

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

= 1 / 707

= 1

So, Greatest Common Divisor of 829, 180, 918, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 722, 669, 249
• GCD of 759, 384, 407, 600
• GCD of 369, 155, 867, 412
• GCD of 164, 743, 559, 899
• GCD of 812, 959, 924, 132

Given numbers are 829, 180, 918, 707
The greatest common divisor of numbers 829, 180, 918, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 180, 918, 707 is 1.

1. What is the GCD of 829, 180, 918, 707?

GCD of given numbers 829, 180, 918, 707 is 1

2. How to calculate the greatest common divisor of 829, 180, 918, 707?

We can find the highest common divisor of 829, 180, 918, 707 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 829, 180, 918, 707 i.e 1.

3. How can I use the GCD of 829, 180, 918, 707Calculator?

Out the numbers 829, 180, 918, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.