GCD of 742, 318, 254, 288 Calculator

Given Input numbers are 742, 318, 254, 288

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (742, 318, 254, 288) = 2.

Given numbers are 742, 318, 254, 288

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 318 are 2 x 3 x 53

Prime factors of 254 are 2 x 127

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 742, 318, 254, 288 is 2.

Given numbers are 742, 318, 254, 288

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

Apply this formula for all numbers.

Step1:

LCM(742, 318) = 2226

GCD(742, 318) = ( 742 x 318 ) / 2226

= 742 / 318

= 742

Step2:

LCM(106, 254) = 13462

GCD(106, 254) = ( 106 x 254 ) / 13462

= 106 / 254

= 106

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 742, 318, 254, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 885, 699, 777
• GCD of 836, 160, 686, 793
• GCD of 391, 316, 996, 547
• GCD of 491, 103, 982, 815
• GCD of 508, 977, 854, 172

Given numbers are 742, 318, 254, 288
The greatest common divisor of numbers 742, 318, 254, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 318, 254, 288 is 2.

1. What is the GCD of 742, 318, 254, 288?

GCD of given numbers 742, 318, 254, 288 is 2

2. How to calculate the greatest common divisor of 742, 318, 254, 288?

We can find the highest common divisor of 742, 318, 254, 288 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, 318, 254, 288 i.e 2.

3. How can I use the GCD of 742, 318, 254, 288Calculator?

Out the numbers 742, 318, 254, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.