GCD of 398, 678, 474, 710 Calculator

Given Input numbers are 398, 678, 474, 710

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

GCD of numbers is the greatest common divisor

So, the GCD (398, 678, 474, 710) = 2.

Given numbers are 398, 678, 474, 710

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 678 are 2 x 3 x 113

Prime factors of 474 are 2 x 3 x 79

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 398, 678, 474, 710 is 2.

Given numbers are 398, 678, 474, 710

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

Apply this formula for all numbers.

Step1:

LCM(398, 678) = 134922

GCD(398, 678) = ( 398 x 678 ) / 134922

= 398 / 678

= 398

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

= 2 / 710

= 2

So, Greatest Common Divisor of 398, 678, 474, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 691, 991, 335
• GCD of 104, 701, 242, 559
• GCD of 235, 715, 894, 377
• GCD of 445, 649, 830, 904
• GCD of 918, 606, 479, 519

Given numbers are 398, 678, 474, 710
The greatest common divisor of numbers 398, 678, 474, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 678, 474, 710 is 2.

1. What is the GCD of 398, 678, 474, 710?

GCD of given numbers 398, 678, 474, 710 is 2

2. How to calculate the greatest common divisor of 398, 678, 474, 710?

We can find the highest common divisor of 398, 678, 474, 710 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 398, 678, 474, 710 i.e 2.

3. How can I use the GCD of 398, 678, 474, 710Calculator?

Out the numbers 398, 678, 474, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.