GCD of 450, 747, 870, 357 Calculator

Given Input numbers are 450, 747, 870, 357

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 357 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (450, 747, 870, 357) = 3.

Given numbers are 450, 747, 870, 357

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 450, 747, 870, 357 is 3.

Given numbers are 450, 747, 870, 357

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

Apply this formula for all numbers.

Step1:

LCM(450, 747) = 37350

GCD(450, 747) = ( 450 x 747 ) / 37350

= 450 / 747

= 450

Step2:

LCM(9, 870) = 2610

GCD(9, 870) = ( 9 x 870 ) / 2610

= 9 / 870

= 9

Step3:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

So, Greatest Common Divisor of 450, 747, 870, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 211, 150, 426
• GCD of 886, 422, 262, 488
• GCD of 427, 674, 842, 464
• GCD of 726, 874, 808, 338
• GCD of 582, 437, 251, 117

Given numbers are 450, 747, 870, 357
The greatest common divisor of numbers 450, 747, 870, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 747, 870, 357 is 3.

1. What is the GCD of 450, 747, 870, 357?

GCD of given numbers 450, 747, 870, 357 is 3

2. How to calculate the greatest common divisor of 450, 747, 870, 357?

We can find the highest common divisor of 450, 747, 870, 357 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 450, 747, 870, 357 i.e 3.

3. How can I use the GCD of 450, 747, 870, 357Calculator?

Out the numbers 450, 747, 870, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.