GCD of 735, 494, 796, 400 Calculator

Given Input numbers are 735, 494, 796, 400

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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

GCD of numbers is the greatest common divisor

So, the GCD (735, 494, 796, 400) = 1.

Given numbers are 735, 494, 796, 400

The list of prime factors of all numbers are

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

Prime factors of 494 are 2 x 13 x 19

Prime factors of 796 are 2 x 2 x 199

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

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

Given numbers are 735, 494, 796, 400

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

Apply this formula for all numbers.

Step1:

LCM(735, 494) = 363090

GCD(735, 494) = ( 735 x 494 ) / 363090

= 735 / 494

= 735

Step2:

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

= 1 / 796

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 735, 494, 796, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 605, 220, 572
• GCD of 910, 233, 942, 640
• GCD of 977, 979, 500, 580
• GCD of 984, 818, 723, 181
• GCD of 464, 560, 144, 402

Given numbers are 735, 494, 796, 400
The greatest common divisor of numbers 735, 494, 796, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 494, 796, 400 is 1.

1. What is the GCD of 735, 494, 796, 400?

GCD of given numbers 735, 494, 796, 400 is 1

2. How to calculate the greatest common divisor of 735, 494, 796, 400?

We can find the highest common divisor of 735, 494, 796, 400 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, 494, 796, 400 i.e 1.

3. How can I use the GCD of 735, 494, 796, 400Calculator?

Out the numbers 735, 494, 796, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.