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GCD of 357, 198, 997, 945 Calculator

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


Online GCD Calculator is useful to find the GCD of 357, 198, 997, 945 quickly. Get the easiest ways to solve the greatest common divisor of 357, 198, 997, 945 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 357, 198, 997, 945 with Factoring?

Given Input numbers are 357, 198, 997, 945

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945


GCD of numbers is the greatest common divisor

So, the GCD (357, 198, 997, 945) = 1.

Find GCD of 357, 198, 997, 945 using Prime Factorization

Given numbers are 357, 198, 997, 945

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 997 are 997

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Steps to Calculate GCD of 357, 198, 997, 945 using LCM Formula

Given numbers are 357, 198, 997, 945

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

Apply this formula for all numbers.

Step1:

LCM(357, 198) = 23562

GCD(357, 198) = ( 357 x 198 ) / 23562

= 357 / 198

= 357


Step2:

LCM(3, 997) = 2991

GCD(3, 997) = ( 3 x 997 ) / 2991

= 3 / 997

= 3


Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1


So, Greatest Common Divisor of 357, 198, 997, 945 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 357, 198, 997, 945

Given numbers are 357, 198, 997, 945
The greatest common divisor of numbers 357, 198, 997, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 198, 997, 945 is 1.

FAQs on GCD of 357, 198, 997, 945 Calculator

1. What is the GCD of 357, 198, 997, 945?

GCD of given numbers 357, 198, 997, 945 is 1


2. How to calculate the greatest common divisor of 357, 198, 997, 945?

We can find the highest common divisor of 357, 198, 997, 945 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 357, 198, 997, 945 i.e 1.


3. How can I use the GCD of 357, 198, 997, 945Calculator?

Out the numbers 357, 198, 997, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.