GCD of 272, 770, 32, 420 Calculator

Given Input numbers are 272, 770, 32, 420

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 272, 770, 32, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 770, 32, 420 is 2.

Therefore, GCD of numbers 272, 770, 32, 420 is 2

Given Input Data is 272, 770, 32, 420

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(272, 770) = 104720

GCD(272, 770) = ( 272 x 770 ) / 104720

GCD(272, 770) = 209440 / 104720

GCD(272, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

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

LCM(2, 420) = 420

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

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

GCD of 272, 770, 32, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 242, 42, 364
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• GCD of 585, 671, 31, 520
• GCD of 352, 498, 66, 814
• GCD of 327, 436, 20, 575

1. What is the GCD of 272, 770, 32, 420?

GCD of 272, 770, 32, 420 is 2

2. Where do I get the detailed procedure to find GCD of 272, 770, 32, 420?

You can find a detailed procedure to find GCD of 272, 770, 32, 420 on our page.

3. How to find GCD of 272, 770, 32, 420 on a calculator?

You can find the GCD of 272, 770, 32, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.