GCD of 220, 704, 682, 750 Calculator

Given Input numbers are 220, 704, 682, 750

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

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

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (220, 704, 682, 750) = 2.

Given numbers are 220, 704, 682, 750

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 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 682 are 2 x 11 x 31

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 220, 704, 682, 750 is 2.

Given numbers are 220, 704, 682, 750

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

Apply this formula for all numbers.

Step1:

LCM(220, 704) = 3520

GCD(220, 704) = ( 220 x 704 ) / 3520

= 220 / 704

= 220

Step2:

LCM(44, 682) = 1364

GCD(44, 682) = ( 44 x 682 ) / 1364

= 44 / 682

= 44

Step3:

LCM(22, 750) = 8250

GCD(22, 750) = ( 22 x 750 ) / 8250

= 22 / 750

= 22

So, Greatest Common Divisor of 220, 704, 682, 750 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 477, 697, 977
• GCD of 142, 305, 579, 298
• GCD of 167, 899, 748, 306
• GCD of 328, 603, 444, 889
• GCD of 105, 314, 928, 997

Given numbers are 220, 704, 682, 750
The greatest common divisor of numbers 220, 704, 682, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 704, 682, 750 is 2.

1. What is the GCD of 220, 704, 682, 750?

GCD of given numbers 220, 704, 682, 750 is 2

2. How to calculate the greatest common divisor of 220, 704, 682, 750?

We can find the highest common divisor of 220, 704, 682, 750 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 220, 704, 682, 750 i.e 2.

3. How can I use the GCD of 220, 704, 682, 750Calculator?

Out the numbers 220, 704, 682, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.