GCD of 762, 759, 48, 420 Calculator

Given Input numbers are 762, 759, 48, 420

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

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

Greatest Common Divisior

We found the divisors of 762, 759, 48, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 759, 48, 420 is 3.

Therefore, GCD of numbers 762, 759, 48, 420 is 3

Given Input Data is 762, 759, 48, 420

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(762, 759) = 192786

GCD(762, 759) = ( 762 x 759 ) / 192786

GCD(762, 759) = 578358 / 192786

GCD(762, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 420

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

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

GCD(3, 420) = 1260 / 420

GCD(3, 420) = 3

GCD of 762, 759, 48, 420 is 3

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1. What is the GCD of 762, 759, 48, 420?

GCD of 762, 759, 48, 420 is 3

2. Where do I get the detailed procedure to find GCD of 762, 759, 48, 420?

You can find a detailed procedure to find GCD of 762, 759, 48, 420 on our page.

3. How to find GCD of 762, 759, 48, 420 on a calculator?

You can find the GCD of 762, 759, 48, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.