GCD of 232, 500, 560, 674 Calculator

Given Input numbers are 232, 500, 560, 674

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (232, 500, 560, 674) = 2.

Given numbers are 232, 500, 560, 674

The list of prime factors of all numbers are

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 232, 500, 560, 674 is 2.

Given numbers are 232, 500, 560, 674

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

Apply this formula for all numbers.

Step1:

LCM(232, 500) = 29000

GCD(232, 500) = ( 232 x 500 ) / 29000

= 232 / 500

= 232

Step2:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

Step3:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

So, Greatest Common Divisor of 232, 500, 560, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 921, 638, 348
• GCD of 238, 225, 705, 330
• GCD of 331, 362, 941, 377
• GCD of 761, 323, 411, 953
• GCD of 390, 364, 488, 707

Given numbers are 232, 500, 560, 674
The greatest common divisor of numbers 232, 500, 560, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 500, 560, 674 is 2.

1. What is the GCD of 232, 500, 560, 674?

GCD of given numbers 232, 500, 560, 674 is 2

2. How to calculate the greatest common divisor of 232, 500, 560, 674?

We can find the highest common divisor of 232, 500, 560, 674 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 232, 500, 560, 674 i.e 2.

3. How can I use the GCD of 232, 500, 560, 674Calculator?

Out the numbers 232, 500, 560, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.