GCD of 309, 700, 35, 824 Calculator

Given Input numbers are 309, 700, 35, 824

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (309, 700, 35, 824) = 1.

Given numbers are 309, 700, 35, 824

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 35 are 5 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 309, 700, 35, 824

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

Apply this formula for all numbers.

Step1:

LCM(309, 700) = 216300

GCD(309, 700) = ( 309 x 700 ) / 216300

= 309 / 700

= 309

Step2:

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

= 1 / 35

= 1

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 309, 700, 35, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 581, 97, 182
• GCD of 185, 342, 81, 736
• GCD of 884, 260, 19, 759
• GCD of 438, 782, 51, 653
• GCD of 978, 214, 78, 892

Given numbers are 309, 700, 35, 824
The greatest common divisor of numbers 309, 700, 35, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 700, 35, 824 is 1.

1. What is the GCD of 309, 700, 35, 824?

GCD of given numbers 309, 700, 35, 824 is 1

2. How to calculate the greatest common divisor of 309, 700, 35, 824?

We can find the highest common divisor of 309, 700, 35, 824 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 309, 700, 35, 824 i.e 1.

3. How can I use the GCD of 309, 700, 35, 824Calculator?

Out the numbers 309, 700, 35, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.