GCD of 735, 225, 832, 676 Calculator

Given Input numbers are 735, 225, 832, 676

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (735, 225, 832, 676) = 1.

Given numbers are 735, 225, 832, 676

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 735, 225, 832, 676

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

Apply this formula for all numbers.

Step1:

LCM(735, 225) = 11025

GCD(735, 225) = ( 735 x 225 ) / 11025

= 735 / 225

= 735

Step2:

LCM(15, 832) = 12480

GCD(15, 832) = ( 15 x 832 ) / 12480

= 15 / 832

= 15

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 735, 225, 832, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 923, 592, 870
• GCD of 341, 723, 957, 875
• GCD of 735, 621, 554, 573
• GCD of 449, 200, 185, 480
• GCD of 506, 542, 602, 268

Given numbers are 735, 225, 832, 676
The greatest common divisor of numbers 735, 225, 832, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 225, 832, 676 is 1.

1. What is the GCD of 735, 225, 832, 676?

GCD of given numbers 735, 225, 832, 676 is 1

2. How to calculate the greatest common divisor of 735, 225, 832, 676?

We can find the highest common divisor of 735, 225, 832, 676 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, 225, 832, 676 i.e 1.

3. How can I use the GCD of 735, 225, 832, 676Calculator?

Out the numbers 735, 225, 832, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.