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GCD of 747, 198, 527, 167 Calculator

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


Online GCD Calculator is useful to find the GCD of 747, 198, 527, 167 quickly. Get the easiest ways to solve the greatest common divisor of 747, 198, 527, 167 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 198, 527, 167 with Factoring?

Given Input numbers are 747, 198, 527, 167

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167


GCD of numbers is the greatest common divisor

So, the GCD (747, 198, 527, 167) = 1.

Find GCD of 747, 198, 527, 167 using Prime Factorization

Given numbers are 747, 198, 527, 167

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 527 are 17 x 31

Prime factors of 167 are 167

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

Steps to Calculate GCD of 747, 198, 527, 167 using LCM Formula

Given numbers are 747, 198, 527, 167

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

Apply this formula for all numbers.

Step1:

LCM(747, 198) = 16434

GCD(747, 198) = ( 747 x 198 ) / 16434

= 747 / 198

= 747


Step2:

LCM(9, 527) = 4743

GCD(9, 527) = ( 9 x 527 ) / 4743

= 9 / 527

= 9


Step3:

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

= 1 / 167

= 1


So, Greatest Common Divisor of 747, 198, 527, 167 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 198, 527, 167

Given numbers are 747, 198, 527, 167
The greatest common divisor of numbers 747, 198, 527, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 198, 527, 167 is 1.

FAQs on GCD of 747, 198, 527, 167 Calculator

1. What is the GCD of 747, 198, 527, 167?

GCD of given numbers 747, 198, 527, 167 is 1


2. How to calculate the greatest common divisor of 747, 198, 527, 167?

We can find the highest common divisor of 747, 198, 527, 167 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 747, 198, 527, 167 i.e 1.


3. How can I use the GCD of 747, 198, 527, 167Calculator?

Out the numbers 747, 198, 527, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.