GCD of 902, 118, 774, 288 Calculator

Given Input numbers are 902, 118, 774, 288

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 (902, 118, 774, 288) = 2.

Given numbers are 902, 118, 774, 288

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 118 are 2 x 59

Prime factors of 774 are 2 x 3 x 3 x 43

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 902, 118, 774, 288 is 2.

Given numbers are 902, 118, 774, 288

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

Apply this formula for all numbers.

Step1:

LCM(902, 118) = 53218

GCD(902, 118) = ( 902 x 118 ) / 53218

= 902 / 118

= 902

Step2:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

Step3:

LCM(2, 288) = 288

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

= 2 / 288

= 2

So, Greatest Common Divisor of 902, 118, 774, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 138, 328, 111
• GCD of 458, 899, 541, 586
• GCD of 296, 258, 943, 395
• GCD of 677, 807, 555, 858
• GCD of 537, 380, 285, 989

Given numbers are 902, 118, 774, 288
The greatest common divisor of numbers 902, 118, 774, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 118, 774, 288 is 2.

1. What is the GCD of 902, 118, 774, 288?

GCD of given numbers 902, 118, 774, 288 is 2

2. How to calculate the greatest common divisor of 902, 118, 774, 288?

We can find the highest common divisor of 902, 118, 774, 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 902, 118, 774, 288 i.e 2.

3. How can I use the GCD of 902, 118, 774, 288Calculator?

Out the numbers 902, 118, 774, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.