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GCD of 552, 567, 692, 755 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, 567, 692, 755 quickly. Get the easiest ways to solve the greatest common divisor of 552, 567, 692, 755 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 552, 567, 692, 755 with Factoring?

Given Input numbers are 552, 567, 692, 755

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 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755


GCD of numbers is the greatest common divisor

So, the GCD (552, 567, 692, 755) = 1.

Find GCD of 552, 567, 692, 755 using Prime Factorization

Given numbers are 552, 567, 692, 755

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 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 692 are 2 x 2 x 173

Prime factors of 755 are 5 x 151

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

Steps to Calculate GCD of 552, 567, 692, 755 using LCM Formula

Given numbers are 552, 567, 692, 755

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

Apply this formula for all numbers.

Step1:

LCM(552, 567) = 104328

GCD(552, 567) = ( 552 x 567 ) / 104328

= 552 / 567

= 552


Step2:

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

= 3 / 692

= 3


Step3:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1


So, Greatest Common Divisor of 552, 567, 692, 755 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 552, 567, 692, 755

Given numbers are 552, 567, 692, 755
The greatest common divisor of numbers 552, 567, 692, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 567, 692, 755 is 1.

FAQs on GCD of 552, 567, 692, 755 Calculator

1. What is the GCD of 552, 567, 692, 755?

GCD of given numbers 552, 567, 692, 755 is 1


2. How to calculate the greatest common divisor of 552, 567, 692, 755?

We can find the highest common divisor of 552, 567, 692, 755 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, 567, 692, 755 i.e 1.


3. How can I use the GCD of 552, 567, 692, 755Calculator?

Out the numbers 552, 567, 692, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.