GCD of 126, 446, 978, 300 Calculator

Given Input numbers are 126, 446, 978, 300

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 978 :

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

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

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 (126, 446, 978, 300) = 2.

Given numbers are 126, 446, 978, 300

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 446 are 2 x 223

Prime factors of 978 are 2 x 3 x 163

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

The highest common occurrence is 2¹

Therefore, GCD of 126, 446, 978, 300 is 2.

Given numbers are 126, 446, 978, 300

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

Apply this formula for all numbers.

Step1:

LCM(126, 446) = 28098

GCD(126, 446) = ( 126 x 446 ) / 28098

= 126 / 446

= 126

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 300) = 300

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

= 2 / 300

= 2

So, Greatest Common Divisor of 126, 446, 978, 300 is 2

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• GCD of 452, 620, 496, 331
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Given numbers are 126, 446, 978, 300
The greatest common divisor of numbers 126, 446, 978, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 446, 978, 300 is 2.

1. What is the GCD of 126, 446, 978, 300?

GCD of given numbers 126, 446, 978, 300 is 2

2. How to calculate the greatest common divisor of 126, 446, 978, 300?

We can find the highest common divisor of 126, 446, 978, 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 126, 446, 978, 300 i.e 2.

3. How can I use the GCD of 126, 446, 978, 300Calculator?

Out the numbers 126, 446, 978, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.