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GCD of 462, 536, 562, 876 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 536, 562, 876 quickly. Get the easiest ways to solve the greatest common divisor of 462, 536, 562, 876 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 536, 562, 876 with Factoring?

Given Input numbers are 462, 536, 562, 876

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876


GCD of numbers is the greatest common divisor

So, the GCD (462, 536, 562, 876) = 2.

Find GCD of 462, 536, 562, 876 using Prime Factorization

Given numbers are 462, 536, 562, 876

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 562 are 2 x 281

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 21

Therefore, GCD of 462, 536, 562, 876 is 2.

Steps to Calculate GCD of 462, 536, 562, 876 using LCM Formula

Given numbers are 462, 536, 562, 876

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

Apply this formula for all numbers.

Step1:

LCM(462, 536) = 123816

GCD(462, 536) = ( 462 x 536 ) / 123816

= 462 / 536

= 462


Step2:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2


Step3:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2


So, Greatest Common Divisor of 462, 536, 562, 876 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 536, 562, 876

Given numbers are 462, 536, 562, 876
The greatest common divisor of numbers 462, 536, 562, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 536, 562, 876 is 2.

FAQs on GCD of 462, 536, 562, 876 Calculator

1. What is the GCD of 462, 536, 562, 876?

GCD of given numbers 462, 536, 562, 876 is 2


2. How to calculate the greatest common divisor of 462, 536, 562, 876?

We can find the highest common divisor of 462, 536, 562, 876 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 462, 536, 562, 876 i.e 2.


3. How can I use the GCD of 462, 536, 562, 876Calculator?

Out the numbers 462, 536, 562, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.