GCD of 168, 756, 976, 300 Calculator

Given Input numbers are 168, 756, 976, 300

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 (168, 756, 976, 300) = 4.

Given numbers are 168, 756, 976, 300

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

The highest common occurrence is 2²

Therefore, GCD of 168, 756, 976, 300 is 4.

Given numbers are 168, 756, 976, 300

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

Apply this formula for all numbers.

Step1:

LCM(168, 756) = 1512

GCD(168, 756) = ( 168 x 756 ) / 1512

= 168 / 756

= 168

Step2:

LCM(84, 976) = 20496

GCD(84, 976) = ( 84 x 976 ) / 20496

= 84 / 976

= 84

Step3:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

So, Greatest Common Divisor of 168, 756, 976, 300 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 557, 820, 282
• GCD of 106, 706, 116, 549
• GCD of 776, 723, 889, 851
• GCD of 579, 574, 633, 901
• GCD of 549, 541, 909, 772

Given numbers are 168, 756, 976, 300
The greatest common divisor of numbers 168, 756, 976, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 756, 976, 300 is 4.

1. What is the GCD of 168, 756, 976, 300?

GCD of given numbers 168, 756, 976, 300 is 4

2. How to calculate the greatest common divisor of 168, 756, 976, 300?

We can find the highest common divisor of 168, 756, 976, 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 168, 756, 976, 300 i.e 4.

3. How can I use the GCD of 168, 756, 976, 300Calculator?

Out the numbers 168, 756, 976, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.