GCD of 308, 224, 958, 478 Calculator

Given Input numbers are 308, 224, 958, 478

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (308, 224, 958, 478) = 2.

Given numbers are 308, 224, 958, 478

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 958 are 2 x 479

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 308, 224, 958, 478 is 2.

Given numbers are 308, 224, 958, 478

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

Apply this formula for all numbers.

Step1:

LCM(308, 224) = 2464

GCD(308, 224) = ( 308 x 224 ) / 2464

= 308 / 224

= 308

Step2:

LCM(28, 958) = 13412

GCD(28, 958) = ( 28 x 958 ) / 13412

= 28 / 958

= 28

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 308, 224, 958, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 742, 241, 661
• GCD of 103, 109, 740, 143
• GCD of 578, 956, 845, 478
• GCD of 566, 159, 893, 680
• GCD of 547, 403, 181, 186

Given numbers are 308, 224, 958, 478
The greatest common divisor of numbers 308, 224, 958, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 224, 958, 478 is 2.

1. What is the GCD of 308, 224, 958, 478?

GCD of given numbers 308, 224, 958, 478 is 2

2. How to calculate the greatest common divisor of 308, 224, 958, 478?

We can find the highest common divisor of 308, 224, 958, 478 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 308, 224, 958, 478 i.e 2.

3. How can I use the GCD of 308, 224, 958, 478Calculator?

Out the numbers 308, 224, 958, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.