GCD of 654, 518, 958, 800 Calculator

Given Input numbers are 654, 518, 958, 800

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (654, 518, 958, 800) = 2.

Given numbers are 654, 518, 958, 800

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 518 are 2 x 7 x 37

Prime factors of 958 are 2 x 479

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 654, 518, 958, 800 is 2.

Given numbers are 654, 518, 958, 800

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

Apply this formula for all numbers.

Step1:

LCM(654, 518) = 169386

GCD(654, 518) = ( 654 x 518 ) / 169386

= 654 / 518

= 654

Step2:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 654, 518, 958, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 969, 369, 220
• GCD of 428, 580, 486, 253
• GCD of 518, 355, 580, 486
• GCD of 223, 503, 461, 329
• GCD of 218, 332, 993, 690

Given numbers are 654, 518, 958, 800
The greatest common divisor of numbers 654, 518, 958, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 518, 958, 800 is 2.

1. What is the GCD of 654, 518, 958, 800?

GCD of given numbers 654, 518, 958, 800 is 2

2. How to calculate the greatest common divisor of 654, 518, 958, 800?

We can find the highest common divisor of 654, 518, 958, 800 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 654, 518, 958, 800 i.e 2.

3. How can I use the GCD of 654, 518, 958, 800Calculator?

Out the numbers 654, 518, 958, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.