GCD of 124, 200, 752, 900 Calculator

Given Input numbers are 124, 200, 752, 900

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (124, 200, 752, 900) = 4.

Given numbers are 124, 200, 752, 900

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 124, 200, 752, 900 is 4.

Given numbers are 124, 200, 752, 900

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

Apply this formula for all numbers.

Step1:

LCM(124, 200) = 6200

GCD(124, 200) = ( 124 x 200 ) / 6200

= 124 / 200

= 124

Step2:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

Step3:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4

So, Greatest Common Divisor of 124, 200, 752, 900 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 858, 358, 363
• GCD of 368, 243, 950, 168
• GCD of 868, 649, 872, 348
• GCD of 461, 565, 961, 148
• GCD of 991, 791, 520, 109

Given numbers are 124, 200, 752, 900
The greatest common divisor of numbers 124, 200, 752, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 200, 752, 900 is 4.

1. What is the GCD of 124, 200, 752, 900?

GCD of given numbers 124, 200, 752, 900 is 4

2. How to calculate the greatest common divisor of 124, 200, 752, 900?

We can find the highest common divisor of 124, 200, 752, 900 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 124, 200, 752, 900 i.e 4.

3. How can I use the GCD of 124, 200, 752, 900Calculator?

Out the numbers 124, 200, 752, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.