GCD of 358, 978, 398, 300 Calculator

Given Input numbers are 358, 978, 398, 300

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (358, 978, 398, 300) = 2.

Given numbers are 358, 978, 398, 300

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 978 are 2 x 3 x 163

Prime factors of 398 are 2 x 199

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 358, 978, 398, 300 is 2.

Given numbers are 358, 978, 398, 300

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

Apply this formula for all numbers.

Step1:

LCM(358, 978) = 175062

GCD(358, 978) = ( 358 x 978 ) / 175062

= 358 / 978

= 358

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 358, 978, 398, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 284, 716, 160
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• GCD of 419, 476, 134, 595
• GCD of 773, 484, 126, 690

Given numbers are 358, 978, 398, 300
The greatest common divisor of numbers 358, 978, 398, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 978, 398, 300 is 2.

1. What is the GCD of 358, 978, 398, 300?

GCD of given numbers 358, 978, 398, 300 is 2

2. How to calculate the greatest common divisor of 358, 978, 398, 300?

We can find the highest common divisor of 358, 978, 398, 300 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 358, 978, 398, 300 i.e 2.

3. How can I use the GCD of 358, 978, 398, 300Calculator?

Out the numbers 358, 978, 398, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.