GCD of 476, 748, 394, 298 Calculator

Given Input numbers are 476, 748, 394, 298

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (476, 748, 394, 298) = 2.

Given numbers are 476, 748, 394, 298

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 394 are 2 x 197

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 476, 748, 394, 298 is 2.

Given numbers are 476, 748, 394, 298

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

Apply this formula for all numbers.

Step1:

LCM(476, 748) = 5236

GCD(476, 748) = ( 476 x 748 ) / 5236

= 476 / 748

= 476

Step2:

LCM(68, 394) = 13396

GCD(68, 394) = ( 68 x 394 ) / 13396

= 68 / 394

= 68

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 476, 748, 394, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 428, 920, 396
• GCD of 323, 270, 644, 362
• GCD of 822, 686, 387, 229
• GCD of 406, 604, 720, 911
• GCD of 139, 215, 425, 836

Given numbers are 476, 748, 394, 298
The greatest common divisor of numbers 476, 748, 394, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 748, 394, 298 is 2.

1. What is the GCD of 476, 748, 394, 298?

GCD of given numbers 476, 748, 394, 298 is 2

2. How to calculate the greatest common divisor of 476, 748, 394, 298?

We can find the highest common divisor of 476, 748, 394, 298 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 476, 748, 394, 298 i.e 2.

3. How can I use the GCD of 476, 748, 394, 298Calculator?

Out the numbers 476, 748, 394, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.