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GCD of 552, 420, 466, 691 Calculator

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


Online GCD Calculator is useful to find the GCD of 552, 420, 466, 691 quickly. Get the easiest ways to solve the greatest common divisor of 552, 420, 466, 691 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 420, 466, 691 with Factoring?

Given Input numbers are 552, 420, 466, 691

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691


GCD of numbers is the greatest common divisor

So, the GCD (552, 420, 466, 691) = 1.

Find GCD of 552, 420, 466, 691 using Prime Factorization

Given numbers are 552, 420, 466, 691

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 466 are 2 x 233

Prime factors of 691 are 691

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

Steps to Calculate GCD of 552, 420, 466, 691 using LCM Formula

Given numbers are 552, 420, 466, 691

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

Apply this formula for all numbers.

Step1:

LCM(552, 420) = 19320

GCD(552, 420) = ( 552 x 420 ) / 19320

= 552 / 420

= 552


Step2:

LCM(12, 466) = 2796

GCD(12, 466) = ( 12 x 466 ) / 2796

= 12 / 466

= 12


Step3:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2


So, Greatest Common Divisor of 552, 420, 466, 691 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 420, 466, 691

Given numbers are 552, 420, 466, 691
The greatest common divisor of numbers 552, 420, 466, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 420, 466, 691 is 1.

FAQs on GCD of 552, 420, 466, 691 Calculator

1. What is the GCD of 552, 420, 466, 691?

GCD of given numbers 552, 420, 466, 691 is 1


2. How to calculate the greatest common divisor of 552, 420, 466, 691?

We can find the highest common divisor of 552, 420, 466, 691 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 552, 420, 466, 691 i.e 1.


3. How can I use the GCD of 552, 420, 466, 691Calculator?

Out the numbers 552, 420, 466, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.