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GCD of 370, 120, 224, 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 370, 120, 224, 525 quickly. Get the easiest ways to solve the greatest common divisor of 370, 120, 224, 525 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 120, 224, 525 with Factoring?

Given Input numbers are 370, 120, 224, 525

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 (370, 120, 224, 525) = 1.

Find GCD of 370, 120, 224, 525 using Prime Factorization

Given numbers are 370, 120, 224, 525

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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 370, 120, 224, 525 using LCM Formula

Given numbers are 370, 120, 224, 525

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

Apply this formula for all numbers.

Step1:

LCM(370, 120) = 4440

GCD(370, 120) = ( 370 x 120 ) / 4440

= 370 / 120

= 370


Step2:

LCM(10, 224) = 1120

GCD(10, 224) = ( 10 x 224 ) / 1120

= 10 / 224

= 10


Step3:

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

= 2 / 525

= 2


So, Greatest Common Divisor of 370, 120, 224, 525 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 120, 224, 525

Given numbers are 370, 120, 224, 525
The greatest common divisor of numbers 370, 120, 224, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 120, 224, 525 is 1.

FAQs on GCD of 370, 120, 224, 525 Calculator

1. What is the GCD of 370, 120, 224, 525?

GCD of given numbers 370, 120, 224, 525 is 1


2. How to calculate the greatest common divisor of 370, 120, 224, 525?

We can find the highest common divisor of 370, 120, 224, 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 370, 120, 224, 525 i.e 1.


3. How can I use the GCD of 370, 120, 224, 525Calculator?

Out the numbers 370, 120, 224, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.