GCD of 735, 400, 806, 952 Calculator

Given Input numbers are 735, 400, 806, 952

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (735, 400, 806, 952) = 1.

Given numbers are 735, 400, 806, 952

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 806 are 2 x 13 x 31

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Given numbers are 735, 400, 806, 952

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

Apply this formula for all numbers.

Step1:

LCM(735, 400) = 58800

GCD(735, 400) = ( 735 x 400 ) / 58800

= 735 / 400

= 735

Step2:

LCM(5, 806) = 4030

GCD(5, 806) = ( 5 x 806 ) / 4030

= 5 / 806

= 5

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 735, 400, 806, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 320, 472, 989
• GCD of 347, 412, 774, 670
• GCD of 237, 200, 975, 631
• GCD of 679, 857, 408, 510
• GCD of 415, 648, 509, 519

Given numbers are 735, 400, 806, 952
The greatest common divisor of numbers 735, 400, 806, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 400, 806, 952 is 1.

1. What is the GCD of 735, 400, 806, 952?

GCD of given numbers 735, 400, 806, 952 is 1

2. How to calculate the greatest common divisor of 735, 400, 806, 952?

We can find the highest common divisor of 735, 400, 806, 952 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 735, 400, 806, 952 i.e 1.

3. How can I use the GCD of 735, 400, 806, 952Calculator?

Out the numbers 735, 400, 806, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.