GCD of 680, 354, 46, 600 Calculator

Given Input numbers are 680, 354, 46, 600

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

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (680, 354, 46, 600) = 2.

Given numbers are 680, 354, 46, 600

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 46 are 2 x 23

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 680, 354, 46, 600 is 2.

Given numbers are 680, 354, 46, 600

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

Apply this formula for all numbers.

Step1:

LCM(680, 354) = 120360

GCD(680, 354) = ( 680 x 354 ) / 120360

= 680 / 354

= 680

Step2:

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

= 2 / 46

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 680, 354, 46, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 350, 43, 199
• GCD of 761, 669, 41, 794
• GCD of 362, 587, 64, 280
• GCD of 299, 990, 75, 775
• GCD of 187, 100, 45, 632

Given numbers are 680, 354, 46, 600
The greatest common divisor of numbers 680, 354, 46, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 354, 46, 600 is 2.

1. What is the GCD of 680, 354, 46, 600?

GCD of given numbers 680, 354, 46, 600 is 2

2. How to calculate the greatest common divisor of 680, 354, 46, 600?

We can find the highest common divisor of 680, 354, 46, 600 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 680, 354, 46, 600 i.e 2.

3. How can I use the GCD of 680, 354, 46, 600Calculator?

Out the numbers 680, 354, 46, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.