GCD of 749, 114, 61, 858 Calculator

Given Input numbers are 749, 114, 61, 858

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 749, 114, 61, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 114, 61, 858 is 1.

Therefore, GCD of numbers 749, 114, 61, 858 is 1

Given Input Data is 749, 114, 61, 858

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 61 is 61

Prime Factorization of 858 is 2 x 3 x 11 x 13

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(749, 114) = 85386

GCD(749, 114) = ( 749 x 114 ) / 85386

GCD(749, 114) = 85386 / 85386

GCD(749, 114) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 749, 114, 61, 858 is 1

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1. What is the GCD of 749, 114, 61, 858?

GCD of 749, 114, 61, 858 is 1

2. Where do I get the detailed procedure to find GCD of 749, 114, 61, 858?

You can find a detailed procedure to find GCD of 749, 114, 61, 858 on our page.

3. How to find GCD of 749, 114, 61, 858 on a calculator?

You can find the GCD of 749, 114, 61, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.