GCD of 340, 588, 902, 984 Calculator

Given Input numbers are 340, 588, 902, 984

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 902 :

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

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (340, 588, 902, 984) = 2.

Given numbers are 340, 588, 902, 984

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 902 are 2 x 11 x 41

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 340, 588, 902, 984 is 2.

Given numbers are 340, 588, 902, 984

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

Apply this formula for all numbers.

Step1:

LCM(340, 588) = 49980

GCD(340, 588) = ( 340 x 588 ) / 49980

= 340 / 588

= 340

Step2:

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

= 4 / 902

= 4

Step3:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

So, Greatest Common Divisor of 340, 588, 902, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 602, 361, 858
• GCD of 917, 913, 405, 192
• GCD of 668, 343, 396, 334
• GCD of 769, 486, 685, 135
• GCD of 559, 218, 936, 976

Given numbers are 340, 588, 902, 984
The greatest common divisor of numbers 340, 588, 902, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 588, 902, 984 is 2.

1. What is the GCD of 340, 588, 902, 984?

GCD of given numbers 340, 588, 902, 984 is 2

2. How to calculate the greatest common divisor of 340, 588, 902, 984?

We can find the highest common divisor of 340, 588, 902, 984 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 340, 588, 902, 984 i.e 2.

3. How can I use the GCD of 340, 588, 902, 984Calculator?

Out the numbers 340, 588, 902, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.