GCD of 688, 550, 704, 220 Calculator

Given Input numbers are 688, 550, 704, 220

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (688, 550, 704, 220) = 2.

Given numbers are 688, 550, 704, 220

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 550 are 2 x 5 x 5 x 11

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

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 688, 550, 704, 220 is 2.

Given numbers are 688, 550, 704, 220

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

Apply this formula for all numbers.

Step1:

LCM(688, 550) = 189200

GCD(688, 550) = ( 688 x 550 ) / 189200

= 688 / 550

= 688

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 688, 550, 704, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 407, 107, 860
• GCD of 388, 657, 430, 592
• GCD of 824, 574, 418, 210
• GCD of 473, 149, 873, 469
• GCD of 473, 983, 447, 575

Given numbers are 688, 550, 704, 220
The greatest common divisor of numbers 688, 550, 704, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 550, 704, 220 is 2.

1. What is the GCD of 688, 550, 704, 220?

GCD of given numbers 688, 550, 704, 220 is 2

2. How to calculate the greatest common divisor of 688, 550, 704, 220?

We can find the highest common divisor of 688, 550, 704, 220 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 688, 550, 704, 220 i.e 2.

3. How can I use the GCD of 688, 550, 704, 220Calculator?

Out the numbers 688, 550, 704, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.