GCD of 450, 175, 655, 940 Calculator

Given Input numbers are 450, 175, 655, 940

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (450, 175, 655, 940) = 5.

Given numbers are 450, 175, 655, 940

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 175 are 5 x 5 x 7

Prime factors of 655 are 5 x 131

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 450, 175, 655, 940 is 5.

Given numbers are 450, 175, 655, 940

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

Apply this formula for all numbers.

Step1:

LCM(450, 175) = 3150

GCD(450, 175) = ( 450 x 175 ) / 3150

= 450 / 175

= 450

Step2:

LCM(25, 655) = 3275

GCD(25, 655) = ( 25 x 655 ) / 3275

= 25 / 655

= 25

Step3:

LCM(5, 940) = 940

GCD(5, 940) = ( 5 x 940 ) / 940

= 5 / 940

= 5

So, Greatest Common Divisor of 450, 175, 655, 940 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 241, 814, 901
• GCD of 646, 211, 779, 478
• GCD of 491, 648, 878, 987
• GCD of 870, 427, 204, 640
• GCD of 863, 640, 492, 982

Given numbers are 450, 175, 655, 940
The greatest common divisor of numbers 450, 175, 655, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 175, 655, 940 is 5.

1. What is the GCD of 450, 175, 655, 940?

GCD of given numbers 450, 175, 655, 940 is 5

2. How to calculate the greatest common divisor of 450, 175, 655, 940?

We can find the highest common divisor of 450, 175, 655, 940 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, 175, 655, 940 i.e 5.

3. How can I use the GCD of 450, 175, 655, 940Calculator?

Out the numbers 450, 175, 655, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.