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GCD of 512, 628, 938, 265 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 512, 628, 938, 265 quickly. Get the easiest ways to solve the greatest common divisor of 512, 628, 938, 265 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 512, 628, 938, 265 with Factoring?

Given Input numbers are 512, 628, 938, 265

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265


GCD of numbers is the greatest common divisor

So, the GCD (512, 628, 938, 265) = 1.

Find GCD of 512, 628, 938, 265 using Prime Factorization

Given numbers are 512, 628, 938, 265

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 628 are 2 x 2 x 157

Prime factors of 938 are 2 x 7 x 67

Prime factors of 265 are 5 x 53

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 512, 628, 938, 265 using LCM Formula

Given numbers are 512, 628, 938, 265

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

Apply this formula for all numbers.

Step1:

LCM(512, 628) = 80384

GCD(512, 628) = ( 512 x 628 ) / 80384

= 512 / 628

= 512


Step2:

LCM(4, 938) = 1876

GCD(4, 938) = ( 4 x 938 ) / 1876

= 4 / 938

= 4


Step3:

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

= 2 / 265

= 2


So, Greatest Common Divisor of 512, 628, 938, 265 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 512, 628, 938, 265

Given numbers are 512, 628, 938, 265
The greatest common divisor of numbers 512, 628, 938, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 628, 938, 265 is 1.

FAQs on GCD of 512, 628, 938, 265 Calculator

1. What is the GCD of 512, 628, 938, 265?

GCD of given numbers 512, 628, 938, 265 is 1


2. How to calculate the greatest common divisor of 512, 628, 938, 265?

We can find the highest common divisor of 512, 628, 938, 265 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 512, 628, 938, 265 i.e 1.


3. How can I use the GCD of 512, 628, 938, 265Calculator?

Out the numbers 512, 628, 938, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.