GCD of 224, 316, 660, 664 Calculator

Given Input numbers are 224, 316, 660, 664

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

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

GCD of numbers is the greatest common divisor

So, the GCD (224, 316, 660, 664) = 4.

Given numbers are 224, 316, 660, 664

The list of prime factors of all numbers are

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

Prime factors of 316 are 2 x 2 x 79

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

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 2²

Therefore, GCD of 224, 316, 660, 664 is 4.

Given numbers are 224, 316, 660, 664

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

Apply this formula for all numbers.

Step1:

LCM(224, 316) = 17696

GCD(224, 316) = ( 224 x 316 ) / 17696

= 224 / 316

= 224

Step2:

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

= 4 / 660

= 4

Step3:

LCM(4, 664) = 664

GCD(4, 664) = ( 4 x 664 ) / 664

= 4 / 664

= 4

So, Greatest Common Divisor of 224, 316, 660, 664 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 786, 503, 860
• GCD of 771, 527, 198, 657
• GCD of 973, 627, 102, 797
• GCD of 311, 818, 179, 900
• GCD of 881, 975, 214, 981

Given numbers are 224, 316, 660, 664
The greatest common divisor of numbers 224, 316, 660, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 316, 660, 664 is 4.

1. What is the GCD of 224, 316, 660, 664?

GCD of given numbers 224, 316, 660, 664 is 4

2. How to calculate the greatest common divisor of 224, 316, 660, 664?

We can find the highest common divisor of 224, 316, 660, 664 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 224, 316, 660, 664 i.e 4.

3. How can I use the GCD of 224, 316, 660, 664Calculator?

Out the numbers 224, 316, 660, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.