GCD of 742, 894, 862 Calculator

Given Input numbers are 742, 894, 862

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 862 :

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

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (742, 894, 862) = 2.

Given numbers are 742, 894, 862

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 894 are 2 x 3 x 149

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 742, 894, 862 is 2.

Given numbers are 742, 894, 862

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

Apply this formula for all numbers.

Step1:

LCM(742, 894) = 331674

GCD(742, 894) = ( 742 x 894 ) / 331674

= 742 / 894

= 742

Step2:

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

= 2 / 862

= 2

So, Greatest Common Divisor of 742, 894, 862 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 399, 522
• GCD of 661, 376, 936
• GCD of 237, 131, 791
• GCD of 409, 243, 693
• GCD of 137, 227, 410

Given numbers are 742, 894, 862
The greatest common divisor of numbers 742, 894, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 894, 862 is 2.

1. What is the GCD of 742, 894, 862?

GCD of given numbers 742, 894, 862 is 2

2. How to calculate the greatest common divisor of 742, 894, 862?

We can find the highest common divisor of 742, 894, 862 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, 894, 862 i.e 2.

3. How can I use the GCD of 742, 894, 862Calculator?

Out the numbers 742, 894, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.