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GCD of 352, 993, 120, 525 Calculator

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


Online GCD Calculator is useful to find the GCD of 352, 993, 120, 525 quickly. Get the easiest ways to solve the greatest common divisor of 352, 993, 120, 525 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 352, 993, 120, 525 with Factoring?

Given Input numbers are 352, 993, 120, 525

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525


GCD of numbers is the greatest common divisor

So, the GCD (352, 993, 120, 525) = 1.

Find GCD of 352, 993, 120, 525 using Prime Factorization

Given numbers are 352, 993, 120, 525

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 993 are 3 x 331

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 525 are 3 x 5 x 5 x 7

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

Steps to Calculate GCD of 352, 993, 120, 525 using LCM Formula

Given numbers are 352, 993, 120, 525

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

Apply this formula for all numbers.

Step1:

LCM(352, 993) = 349536

GCD(352, 993) = ( 352 x 993 ) / 349536

= 352 / 993

= 352


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

= 1 / 525

= 1


So, Greatest Common Divisor of 352, 993, 120, 525 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 352, 993, 120, 525

Given numbers are 352, 993, 120, 525
The greatest common divisor of numbers 352, 993, 120, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 993, 120, 525 is 1.

FAQs on GCD of 352, 993, 120, 525 Calculator

1. What is the GCD of 352, 993, 120, 525?

GCD of given numbers 352, 993, 120, 525 is 1


2. How to calculate the greatest common divisor of 352, 993, 120, 525?

We can find the highest common divisor of 352, 993, 120, 525 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 352, 993, 120, 525 i.e 1.


3. How can I use the GCD of 352, 993, 120, 525Calculator?

Out the numbers 352, 993, 120, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.