GCD of 742, 404, 875, 305 Calculator

Given Input numbers are 742, 404, 875, 305

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

GCD of numbers is the greatest common divisor

So, the GCD (742, 404, 875, 305) = 1.

Given numbers are 742, 404, 875, 305

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 404 are 2 x 2 x 101

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 305 are 5 x 61

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

Given numbers are 742, 404, 875, 305

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

Apply this formula for all numbers.

Step1:

LCM(742, 404) = 149884

GCD(742, 404) = ( 742 x 404 ) / 149884

= 742 / 404

= 742

Step2:

LCM(2, 875) = 1750

GCD(2, 875) = ( 2 x 875 ) / 1750

= 2 / 875

= 2

Step3:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

So, Greatest Common Divisor of 742, 404, 875, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 553, 561, 370
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• GCD of 859, 396, 830, 400

Given numbers are 742, 404, 875, 305
The greatest common divisor of numbers 742, 404, 875, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 404, 875, 305 is 1.

1. What is the GCD of 742, 404, 875, 305?

GCD of given numbers 742, 404, 875, 305 is 1

2. How to calculate the greatest common divisor of 742, 404, 875, 305?

We can find the highest common divisor of 742, 404, 875, 305 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 742, 404, 875, 305 i.e 1.

3. How can I use the GCD of 742, 404, 875, 305Calculator?

Out the numbers 742, 404, 875, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.