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GCD of 145, 308, 660, 693 Calculator

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


Online GCD Calculator is useful to find the GCD of 145, 308, 660, 693 quickly. Get the easiest ways to solve the greatest common divisor of 145, 308, 660, 693 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 145, 308, 660, 693 with Factoring?

Given Input numbers are 145, 308, 660, 693

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693


GCD of numbers is the greatest common divisor

So, the GCD (145, 308, 660, 693) = 1.

Find GCD of 145, 308, 660, 693 using Prime Factorization

Given numbers are 145, 308, 660, 693

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 693 are 3 x 3 x 7 x 11

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

Steps to Calculate GCD of 145, 308, 660, 693 using LCM Formula

Given numbers are 145, 308, 660, 693

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

Apply this formula for all numbers.

Step1:

LCM(145, 308) = 44660

GCD(145, 308) = ( 145 x 308 ) / 44660

= 145 / 308

= 145


Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


Step3:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1


So, Greatest Common Divisor of 145, 308, 660, 693 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 145, 308, 660, 693

Given numbers are 145, 308, 660, 693
The greatest common divisor of numbers 145, 308, 660, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 308, 660, 693 is 1.

FAQs on GCD of 145, 308, 660, 693 Calculator

1. What is the GCD of 145, 308, 660, 693?

GCD of given numbers 145, 308, 660, 693 is 1


2. How to calculate the greatest common divisor of 145, 308, 660, 693?

We can find the highest common divisor of 145, 308, 660, 693 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 145, 308, 660, 693 i.e 1.


3. How can I use the GCD of 145, 308, 660, 693Calculator?

Out the numbers 145, 308, 660, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.