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GCD of 474, 536, 880, 632 Calculator

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


Online GCD Calculator is useful to find the GCD of 474, 536, 880, 632 quickly. Get the easiest ways to solve the greatest common divisor of 474, 536, 880, 632 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 474, 536, 880, 632 with Factoring?

Given Input numbers are 474, 536, 880, 632

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 536 :

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

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632


GCD of numbers is the greatest common divisor

So, the GCD (474, 536, 880, 632) = 2.

Find GCD of 474, 536, 880, 632 using Prime Factorization

Given numbers are 474, 536, 880, 632

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

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

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 21

Therefore, GCD of 474, 536, 880, 632 is 2.

Steps to Calculate GCD of 474, 536, 880, 632 using LCM Formula

Given numbers are 474, 536, 880, 632

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

Apply this formula for all numbers.

Step1:

LCM(474, 536) = 127032

GCD(474, 536) = ( 474 x 536 ) / 127032

= 474 / 536

= 474


Step2:

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

= 2 / 880

= 2


Step3:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2


So, Greatest Common Divisor of 474, 536, 880, 632 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 474, 536, 880, 632

Given numbers are 474, 536, 880, 632
The greatest common divisor of numbers 474, 536, 880, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 536, 880, 632 is 2.

FAQs on GCD of 474, 536, 880, 632 Calculator

1. What is the GCD of 474, 536, 880, 632?

GCD of given numbers 474, 536, 880, 632 is 2


2. How to calculate the greatest common divisor of 474, 536, 880, 632?

We can find the highest common divisor of 474, 536, 880, 632 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 474, 536, 880, 632 i.e 2.


3. How can I use the GCD of 474, 536, 880, 632Calculator?

Out the numbers 474, 536, 880, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.