GCD of 374, 224, 684, 602 Calculator

Given Input numbers are 374, 224, 684, 602

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

GCD of numbers is the greatest common divisor

So, the GCD (374, 224, 684, 602) = 2.

Given numbers are 374, 224, 684, 602

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 602 are 2 x 7 x 43

The highest common occurrence is 2¹

Therefore, GCD of 374, 224, 684, 602 is 2.

Given numbers are 374, 224, 684, 602

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

Apply this formula for all numbers.

Step1:

LCM(374, 224) = 41888

GCD(374, 224) = ( 374 x 224 ) / 41888

= 374 / 224

= 374

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

= 2 / 602

= 2

So, Greatest Common Divisor of 374, 224, 684, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 253, 238, 919
• GCD of 961, 721, 387, 371
• GCD of 155, 319, 274, 303
• GCD of 979, 199, 233, 996
• GCD of 123, 939, 106, 880

Given numbers are 374, 224, 684, 602
The greatest common divisor of numbers 374, 224, 684, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 224, 684, 602 is 2.

1. What is the GCD of 374, 224, 684, 602?

GCD of given numbers 374, 224, 684, 602 is 2

2. How to calculate the greatest common divisor of 374, 224, 684, 602?

We can find the highest common divisor of 374, 224, 684, 602 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 374, 224, 684, 602 i.e 2.

3. How can I use the GCD of 374, 224, 684, 602Calculator?

Out the numbers 374, 224, 684, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.