GCD of 935, 905, 825, 700 Calculator

Given Input numbers are 935, 905, 825, 700

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 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

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 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

GCD of numbers is the greatest common divisor

So, the GCD (935, 905, 825, 700) = 5.

Given numbers are 935, 905, 825, 700

The list of prime factors of all numbers are

Prime factors of 935 are 5 x 11 x 17

Prime factors of 905 are 5 x 181

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

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

The highest common occurrence is 5¹

Therefore, GCD of 935, 905, 825, 700 is 5.

Given numbers are 935, 905, 825, 700

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

Apply this formula for all numbers.

Step1:

LCM(935, 905) = 169235

GCD(935, 905) = ( 935 x 905 ) / 169235

= 935 / 905

= 935

Step2:

LCM(5, 825) = 825

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

= 5 / 825

= 5

Step3:

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

= 5 / 700

= 5

So, Greatest Common Divisor of 935, 905, 825, 700 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 524, 692, 966
• GCD of 245, 388, 553, 608
• GCD of 787, 260, 489, 563
• GCD of 717, 447, 432, 999
• GCD of 766, 596, 835, 783

Given numbers are 935, 905, 825, 700
The greatest common divisor of numbers 935, 905, 825, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 935, 905, 825, 700 is 5.

1. What is the GCD of 935, 905, 825, 700?

GCD of given numbers 935, 905, 825, 700 is 5

2. How to calculate the greatest common divisor of 935, 905, 825, 700?

We can find the highest common divisor of 935, 905, 825, 700 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, 905, 825, 700 i.e 5.

3. How can I use the GCD of 935, 905, 825, 700Calculator?

Out the numbers 935, 905, 825, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.