GCD of 742, 871, 939, 600 Calculator

Given Input numbers are 742, 871, 939, 600

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 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (742, 871, 939, 600) = 1.

Given numbers are 742, 871, 939, 600

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 871 are 13 x 67

Prime factors of 939 are 3 x 313

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 742, 871, 939, 600

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

Apply this formula for all numbers.

Step1:

LCM(742, 871) = 646282

GCD(742, 871) = ( 742 x 871 ) / 646282

= 742 / 871

= 742

Step2:

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

= 1 / 939

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 742, 871, 939, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 512, 349, 966
• GCD of 435, 132, 730, 762
• GCD of 330, 131, 824, 801
• GCD of 363, 916, 551, 825
• GCD of 384, 617, 348, 647

Given numbers are 742, 871, 939, 600
The greatest common divisor of numbers 742, 871, 939, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 871, 939, 600 is 1.

1. What is the GCD of 742, 871, 939, 600?

GCD of given numbers 742, 871, 939, 600 is 1

2. How to calculate the greatest common divisor of 742, 871, 939, 600?

We can find the highest common divisor of 742, 871, 939, 600 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, 871, 939, 600 i.e 1.

3. How can I use the GCD of 742, 871, 939, 600Calculator?

Out the numbers 742, 871, 939, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.