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GCD of 400, 169, 528, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 400, 169, 528, 476 quickly. Get the easiest ways to solve the greatest common divisor of 400, 169, 528, 476 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 400, 169, 528, 476 with Factoring?

Given Input numbers are 400, 169, 528, 476

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476


GCD of numbers is the greatest common divisor

So, the GCD (400, 169, 528, 476) = 1.

Find GCD of 400, 169, 528, 476 using Prime Factorization

Given numbers are 400, 169, 528, 476

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 169 are 13 x 13

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 476 are 2 x 2 x 7 x 17

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

Steps to Calculate GCD of 400, 169, 528, 476 using LCM Formula

Given numbers are 400, 169, 528, 476

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

Apply this formula for all numbers.

Step1:

LCM(400, 169) = 67600

GCD(400, 169) = ( 400 x 169 ) / 67600

= 400 / 169

= 400


Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1


Step3:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1


So, Greatest Common Divisor of 400, 169, 528, 476 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 400, 169, 528, 476

Given numbers are 400, 169, 528, 476
The greatest common divisor of numbers 400, 169, 528, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 169, 528, 476 is 1.

FAQs on GCD of 400, 169, 528, 476 Calculator

1. What is the GCD of 400, 169, 528, 476?

GCD of given numbers 400, 169, 528, 476 is 1


2. How to calculate the greatest common divisor of 400, 169, 528, 476?

We can find the highest common divisor of 400, 169, 528, 476 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 400, 169, 528, 476 i.e 1.


3. How can I use the GCD of 400, 169, 528, 476Calculator?

Out the numbers 400, 169, 528, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.