GCD of 902, 920, 828, 290 Calculator

Given Input numbers are 902, 920, 828, 290

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (902, 920, 828, 290) = 2.

Given numbers are 902, 920, 828, 290

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 902, 920, 828, 290 is 2.

Given numbers are 902, 920, 828, 290

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

Apply this formula for all numbers.

Step1:

LCM(902, 920) = 414920

GCD(902, 920) = ( 902 x 920 ) / 414920

= 902 / 920

= 902

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

= 2 / 290

= 2

So, Greatest Common Divisor of 902, 920, 828, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 692, 184, 910
• GCD of 583, 190, 641, 714
• GCD of 985, 200, 156, 556
• GCD of 276, 944, 487, 476
• GCD of 885, 878, 938, 408

Given numbers are 902, 920, 828, 290
The greatest common divisor of numbers 902, 920, 828, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 920, 828, 290 is 2.

1. What is the GCD of 902, 920, 828, 290?

GCD of given numbers 902, 920, 828, 290 is 2

2. How to calculate the greatest common divisor of 902, 920, 828, 290?

We can find the highest common divisor of 902, 920, 828, 290 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, 920, 828, 290 i.e 2.

3. How can I use the GCD of 902, 920, 828, 290Calculator?

Out the numbers 902, 920, 828, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.