GCD of 862, 192, 74, 742 Calculator

Given Input numbers are 862, 192, 74, 742

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

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (862, 192, 74, 742) = 2.

Given numbers are 862, 192, 74, 742

The list of prime factors of all numbers are

Prime factors of 862 are 2 x 431

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 74 are 2 x 37

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 862, 192, 74, 742 is 2.

Given numbers are 862, 192, 74, 742

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

Apply this formula for all numbers.

Step1:

LCM(862, 192) = 82752

GCD(862, 192) = ( 862 x 192 ) / 82752

= 862 / 192

= 862

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 862, 192, 74, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 808, 12, 263
• GCD of 834, 788, 41, 245
• GCD of 768, 291, 36, 847
• GCD of 998, 695, 25, 136
• GCD of 481, 196, 16, 220

Given numbers are 862, 192, 74, 742
The greatest common divisor of numbers 862, 192, 74, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 192, 74, 742 is 2.

1. What is the GCD of 862, 192, 74, 742?

GCD of given numbers 862, 192, 74, 742 is 2

2. How to calculate the greatest common divisor of 862, 192, 74, 742?

We can find the highest common divisor of 862, 192, 74, 742 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 862, 192, 74, 742 i.e 2.

3. How can I use the GCD of 862, 192, 74, 742Calculator?

Out the numbers 862, 192, 74, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.