GCD of 660, 224, 70, 516 Calculator

Given Input numbers are 660, 224, 70, 516

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (660, 224, 70, 516) = 2.

Given numbers are 660, 224, 70, 516

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 70 are 2 x 5 x 7

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 660, 224, 70, 516 is 2.

Given numbers are 660, 224, 70, 516

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

Apply this formula for all numbers.

Step1:

LCM(660, 224) = 36960

GCD(660, 224) = ( 660 x 224 ) / 36960

= 660 / 224

= 660

Step2:

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

= 4 / 70

= 4

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 660, 224, 70, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 319, 36, 791
• GCD of 734, 838, 88, 337
• GCD of 904, 573, 28, 127
• GCD of 727, 714, 24, 139
• GCD of 892, 242, 67, 290

Given numbers are 660, 224, 70, 516
The greatest common divisor of numbers 660, 224, 70, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 224, 70, 516 is 2.

1. What is the GCD of 660, 224, 70, 516?

GCD of given numbers 660, 224, 70, 516 is 2

2. How to calculate the greatest common divisor of 660, 224, 70, 516?

We can find the highest common divisor of 660, 224, 70, 516 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 660, 224, 70, 516 i.e 2.

3. How can I use the GCD of 660, 224, 70, 516Calculator?

Out the numbers 660, 224, 70, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.