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GCD of 896, 564, 508, 671 Calculator

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


Online GCD Calculator is useful to find the GCD of 896, 564, 508, 671 quickly. Get the easiest ways to solve the greatest common divisor of 896, 564, 508, 671 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 896, 564, 508, 671 with Factoring?

Given Input numbers are 896, 564, 508, 671

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671


GCD of numbers is the greatest common divisor

So, the GCD (896, 564, 508, 671) = 1.

Find GCD of 896, 564, 508, 671 using Prime Factorization

Given numbers are 896, 564, 508, 671

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 508 are 2 x 2 x 127

Prime factors of 671 are 11 x 61

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

Steps to Calculate GCD of 896, 564, 508, 671 using LCM Formula

Given numbers are 896, 564, 508, 671

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

Apply this formula for all numbers.

Step1:

LCM(896, 564) = 126336

GCD(896, 564) = ( 896 x 564 ) / 126336

= 896 / 564

= 896


Step2:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4


Step3:

LCM(4, 671) = 2684

GCD(4, 671) = ( 4 x 671 ) / 2684

= 4 / 671

= 4


So, Greatest Common Divisor of 896, 564, 508, 671 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 896, 564, 508, 671

Given numbers are 896, 564, 508, 671
The greatest common divisor of numbers 896, 564, 508, 671 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 564, 508, 671 is 1.

FAQs on GCD of 896, 564, 508, 671 Calculator

1. What is the GCD of 896, 564, 508, 671?

GCD of given numbers 896, 564, 508, 671 is 1


2. How to calculate the greatest common divisor of 896, 564, 508, 671?

We can find the highest common divisor of 896, 564, 508, 671 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 896, 564, 508, 671 i.e 1.


3. How can I use the GCD of 896, 564, 508, 671Calculator?

Out the numbers 896, 564, 508, 671 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.