GCD of 935, 850, 420, 825 Calculator

Given Input numbers are 935, 850, 420, 825

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

Divisors of 935 :

The positive integer divisors of 935 that completely divides 935 are.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

GCD of numbers is the greatest common divisor

So, the GCD (935, 850, 420, 825) = 5.

Given numbers are 935, 850, 420, 825

The list of prime factors of all numbers are

Prime factors of 935 are 5 x 11 x 17

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 935, 850, 420, 825 is 5.

Given numbers are 935, 850, 420, 825

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

Apply this formula for all numbers.

Step1:

LCM(935, 850) = 9350

GCD(935, 850) = ( 935 x 850 ) / 9350

= 935 / 850

= 935

Step2:

LCM(85, 420) = 7140

GCD(85, 420) = ( 85 x 420 ) / 7140

= 85 / 420

= 85

Step3:

LCM(5, 825) = 825

GCD(5, 825) = ( 5 x 825 ) / 825

= 5 / 825

= 5

So, Greatest Common Divisor of 935, 850, 420, 825 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 836, 636, 795
• GCD of 687, 174, 471, 332
• GCD of 407, 862, 707, 168
• GCD of 200, 393, 681, 240
• GCD of 121, 613, 882, 924

Given numbers are 935, 850, 420, 825
The greatest common divisor of numbers 935, 850, 420, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 935, 850, 420, 825 is 5.

1. What is the GCD of 935, 850, 420, 825?

GCD of given numbers 935, 850, 420, 825 is 5

2. How to calculate the greatest common divisor of 935, 850, 420, 825?

We can find the highest common divisor of 935, 850, 420, 825 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 935, 850, 420, 825 i.e 5.

3. How can I use the GCD of 935, 850, 420, 825Calculator?

Out the numbers 935, 850, 420, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.