GCD of 752, 218, 464, 420 Calculator

Given Input numbers are 752, 218, 464, 420

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

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 (752, 218, 464, 420) = 2.

Given numbers are 752, 218, 464, 420

The list of prime factors of all numbers are

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

Prime factors of 218 are 2 x 109

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 752, 218, 464, 420 is 2.

Given numbers are 752, 218, 464, 420

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

Apply this formula for all numbers.

Step1:

LCM(752, 218) = 81968

GCD(752, 218) = ( 752 x 218 ) / 81968

= 752 / 218

= 752

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 420) = 420

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

= 2 / 420

= 2

So, Greatest Common Divisor of 752, 218, 464, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 360, 942, 885
• GCD of 469, 942, 531, 740
• GCD of 571, 385, 113, 361
• GCD of 471, 295, 435, 661
• GCD of 881, 769, 952, 571

Given numbers are 752, 218, 464, 420
The greatest common divisor of numbers 752, 218, 464, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 218, 464, 420 is 2.

1. What is the GCD of 752, 218, 464, 420?

GCD of given numbers 752, 218, 464, 420 is 2

2. How to calculate the greatest common divisor of 752, 218, 464, 420?

We can find the highest common divisor of 752, 218, 464, 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 752, 218, 464, 420 i.e 2.

3. How can I use the GCD of 752, 218, 464, 420Calculator?

Out the numbers 752, 218, 464, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.