GCD of 734, 478, 680, 500 Calculator

Given Input numbers are 734, 478, 680, 500

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

GCD of numbers is the greatest common divisor

So, the GCD (734, 478, 680, 500) = 2.

Given numbers are 734, 478, 680, 500

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 478 are 2 x 239

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 734, 478, 680, 500 is 2.

Given numbers are 734, 478, 680, 500

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

Apply this formula for all numbers.

Step1:

LCM(734, 478) = 175426

GCD(734, 478) = ( 734 x 478 ) / 175426

= 734 / 478

= 734

Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 734, 478, 680, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 972, 778, 251
• GCD of 476, 217, 446, 475
• GCD of 344, 725, 632, 272
• GCD of 162, 383, 574, 935
• GCD of 179, 651, 664, 954

Given numbers are 734, 478, 680, 500
The greatest common divisor of numbers 734, 478, 680, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 478, 680, 500 is 2.

1. What is the GCD of 734, 478, 680, 500?

GCD of given numbers 734, 478, 680, 500 is 2

2. How to calculate the greatest common divisor of 734, 478, 680, 500?

We can find the highest common divisor of 734, 478, 680, 500 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 734, 478, 680, 500 i.e 2.

3. How can I use the GCD of 734, 478, 680, 500Calculator?

Out the numbers 734, 478, 680, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.