GCD of 861, 746, 450, 967 Calculator

Given Input numbers are 861, 746, 450, 967

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 861, 746, 450, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 746, 450, 967 is 1.

Therefore, GCD of numbers 861, 746, 450, 967 is 1

Given Input Data is 861, 746, 450, 967

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 746 is 2 x 373

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 967 is 967

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(861, 746) = 642306

GCD(861, 746) = ( 861 x 746 ) / 642306

GCD(861, 746) = 642306 / 642306

GCD(861, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 861, 746, 450, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 159, 584, 972
• GCD of 125, 216, 929, 160
• GCD of 646, 925, 841, 275
• GCD of 112, 708, 309, 102
• GCD of 353, 744, 169, 637

1. What is the GCD of 861, 746, 450, 967?

GCD of 861, 746, 450, 967 is 1

2. Where do I get the detailed procedure to find GCD of 861, 746, 450, 967?

You can find a detailed procedure to find GCD of 861, 746, 450, 967 on our page.

3. How to find GCD of 861, 746, 450, 967 on a calculator?

You can find the GCD of 861, 746, 450, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.