GCD of 750, 220, 76, 420 Calculator

Given Input numbers are 750, 220, 76, 420

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (750, 220, 76, 420) = 2.

Given numbers are 750, 220, 76, 420

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 76 are 2 x 2 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 750, 220, 76, 420 is 2.

Given numbers are 750, 220, 76, 420

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

Apply this formula for all numbers.

Step1:

LCM(750, 220) = 16500

GCD(750, 220) = ( 750 x 220 ) / 16500

= 750 / 220

= 750

Step2:

LCM(10, 76) = 380

GCD(10, 76) = ( 10 x 76 ) / 380

= 10 / 76

= 10

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 750, 220, 76, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 661, 22, 341
• GCD of 680, 411, 47, 119
• GCD of 851, 506, 11, 329
• GCD of 226, 123, 90, 658
• GCD of 864, 680, 73, 975

Given numbers are 750, 220, 76, 420
The greatest common divisor of numbers 750, 220, 76, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 220, 76, 420 is 2.

1. What is the GCD of 750, 220, 76, 420?

GCD of given numbers 750, 220, 76, 420 is 2

2. How to calculate the greatest common divisor of 750, 220, 76, 420?

We can find the highest common divisor of 750, 220, 76, 420 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 750, 220, 76, 420 i.e 2.

3. How can I use the GCD of 750, 220, 76, 420Calculator?

Out the numbers 750, 220, 76, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.