GCD of 357, 408, 897, 753 Calculator

Given Input numbers are 357, 408, 897, 753

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (357, 408, 897, 753) = 3.

Given numbers are 357, 408, 897, 753

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 897 are 3 x 13 x 23

Prime factors of 753 are 3 x 251

The highest common occurrence is 3¹

Therefore, GCD of 357, 408, 897, 753 is 3.

Given numbers are 357, 408, 897, 753

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

Apply this formula for all numbers.

Step1:

LCM(357, 408) = 2856

GCD(357, 408) = ( 357 x 408 ) / 2856

= 357 / 408

= 357

Step2:

LCM(51, 897) = 15249

GCD(51, 897) = ( 51 x 897 ) / 15249

= 51 / 897

= 51

Step3:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

So, Greatest Common Divisor of 357, 408, 897, 753 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 517, 174, 712
• GCD of 388, 426, 892, 420
• GCD of 687, 346, 156, 956
• GCD of 788, 978, 815, 396
• GCD of 674, 532, 809, 211

Given numbers are 357, 408, 897, 753
The greatest common divisor of numbers 357, 408, 897, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 408, 897, 753 is 3.

1. What is the GCD of 357, 408, 897, 753?

GCD of given numbers 357, 408, 897, 753 is 3

2. How to calculate the greatest common divisor of 357, 408, 897, 753?

We can find the highest common divisor of 357, 408, 897, 753 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 357, 408, 897, 753 i.e 3.

3. How can I use the GCD of 357, 408, 897, 753Calculator?

Out the numbers 357, 408, 897, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.