GCD of 584, 568, 416, 350 Calculator

Given Input numbers are 584, 568, 416, 350

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (584, 568, 416, 350) = 2.

Given numbers are 584, 568, 416, 350

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 584, 568, 416, 350 is 2.

Given numbers are 584, 568, 416, 350

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

Apply this formula for all numbers.

Step1:

LCM(584, 568) = 41464

GCD(584, 568) = ( 584 x 568 ) / 41464

= 584 / 568

= 584

Step2:

LCM(8, 416) = 416

GCD(8, 416) = ( 8 x 416 ) / 416

= 8 / 416

= 8

Step3:

LCM(8, 350) = 1400

GCD(8, 350) = ( 8 x 350 ) / 1400

= 8 / 350

= 8

So, Greatest Common Divisor of 584, 568, 416, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 176, 395, 542
• GCD of 299, 366, 870, 862
• GCD of 695, 405, 811, 602
• GCD of 307, 766, 233, 215
• GCD of 284, 735, 989, 456

Given numbers are 584, 568, 416, 350
The greatest common divisor of numbers 584, 568, 416, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 568, 416, 350 is 2.

1. What is the GCD of 584, 568, 416, 350?

GCD of given numbers 584, 568, 416, 350 is 2

2. How to calculate the greatest common divisor of 584, 568, 416, 350?

We can find the highest common divisor of 584, 568, 416, 350 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 584, 568, 416, 350 i.e 2.

3. How can I use the GCD of 584, 568, 416, 350Calculator?

Out the numbers 584, 568, 416, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.