GCD of 658, 308, 704, 800 Calculator

Given Input numbers are 658, 308, 704, 800

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 (658, 308, 704, 800) = 2.

Given numbers are 658, 308, 704, 800

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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 658, 308, 704, 800 is 2.

Given numbers are 658, 308, 704, 800

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

Apply this formula for all numbers.

Step1:

LCM(658, 308) = 14476

GCD(658, 308) = ( 658 x 308 ) / 14476

= 658 / 308

= 658

Step2:

LCM(14, 704) = 4928

GCD(14, 704) = ( 14 x 704 ) / 4928

= 14 / 704

= 14

Step3:

LCM(2, 800) = 800

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

= 2 / 800

= 2

So, Greatest Common Divisor of 658, 308, 704, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 825, 914, 992
• GCD of 176, 453, 784, 461
• GCD of 686, 851, 570, 504
• GCD of 105, 717, 406, 984
• GCD of 202, 826, 257, 529

Given numbers are 658, 308, 704, 800
The greatest common divisor of numbers 658, 308, 704, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 308, 704, 800 is 2.

1. What is the GCD of 658, 308, 704, 800?

GCD of given numbers 658, 308, 704, 800 is 2

2. How to calculate the greatest common divisor of 658, 308, 704, 800?

We can find the highest common divisor of 658, 308, 704, 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 658, 308, 704, 800 i.e 2.

3. How can I use the GCD of 658, 308, 704, 800Calculator?

Out the numbers 658, 308, 704, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.