GCD of 742, 894, 84, 264 Calculator

Given Input numbers are 742, 894, 84, 264

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 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (742, 894, 84, 264) = 2.

Given numbers are 742, 894, 84, 264

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 84 are 2 x 2 x 3 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 742, 894, 84, 264 is 2.

Given numbers are 742, 894, 84, 264

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, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 742, 894, 84, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 945, 69, 869
• GCD of 263, 532, 82, 417
• GCD of 430, 637, 91, 851
• GCD of 623, 506, 80, 502
• GCD of 620, 641, 58, 984

Given numbers are 742, 894, 84, 264
The greatest common divisor of numbers 742, 894, 84, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 894, 84, 264 is 2.

1. What is the GCD of 742, 894, 84, 264?

GCD of given numbers 742, 894, 84, 264 is 2

2. How to calculate the greatest common divisor of 742, 894, 84, 264?

We can find the highest common divisor of 742, 894, 84, 264 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, 84, 264 i.e 2.

3. How can I use the GCD of 742, 894, 84, 264Calculator?

Out the numbers 742, 894, 84, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.