GCD of 300, 988, 100, 632 Calculator

Given Input numbers are 300, 988, 100, 632

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

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (300, 988, 100, 632) = 4.

Given numbers are 300, 988, 100, 632

The list of prime factors of all numbers are

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

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2²

Therefore, GCD of 300, 988, 100, 632 is 4.

Given numbers are 300, 988, 100, 632

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

Apply this formula for all numbers.

Step1:

LCM(300, 988) = 74100

GCD(300, 988) = ( 300 x 988 ) / 74100

= 300 / 988

= 300

Step2:

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

= 4 / 100

= 4

Step3:

LCM(4, 632) = 632

GCD(4, 632) = ( 4 x 632 ) / 632

= 4 / 632

= 4

So, Greatest Common Divisor of 300, 988, 100, 632 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 973, 588, 998
• GCD of 860, 894, 204, 788
• GCD of 426, 237, 102, 267
• GCD of 409, 263, 534, 851
• GCD of 175, 293, 596, 316

Given numbers are 300, 988, 100, 632
The greatest common divisor of numbers 300, 988, 100, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 988, 100, 632 is 4.

1. What is the GCD of 300, 988, 100, 632?

GCD of given numbers 300, 988, 100, 632 is 4

2. How to calculate the greatest common divisor of 300, 988, 100, 632?

We can find the highest common divisor of 300, 988, 100, 632 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 300, 988, 100, 632 i.e 4.

3. How can I use the GCD of 300, 988, 100, 632Calculator?

Out the numbers 300, 988, 100, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.