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GCD of 370, 153, 838, 274 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, 153, 838, 274 quickly. Get the easiest ways to solve the greatest common divisor of 370, 153, 838, 274 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 153, 838, 274 with Factoring?

Given Input numbers are 370, 153, 838, 274

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 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274


GCD of numbers is the greatest common divisor

So, the GCD (370, 153, 838, 274) = 1.

Find GCD of 370, 153, 838, 274 using Prime Factorization

Given numbers are 370, 153, 838, 274

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 153 are 3 x 3 x 17

Prime factors of 838 are 2 x 419

Prime factors of 274 are 2 x 137

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

Steps to Calculate GCD of 370, 153, 838, 274 using LCM Formula

Given numbers are 370, 153, 838, 274

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

Apply this formula for all numbers.

Step1:

LCM(370, 153) = 56610

GCD(370, 153) = ( 370 x 153 ) / 56610

= 370 / 153

= 370


Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1


Step3:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1


So, Greatest Common Divisor of 370, 153, 838, 274 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 153, 838, 274

Given numbers are 370, 153, 838, 274
The greatest common divisor of numbers 370, 153, 838, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 153, 838, 274 is 1.

FAQs on GCD of 370, 153, 838, 274 Calculator

1. What is the GCD of 370, 153, 838, 274?

GCD of given numbers 370, 153, 838, 274 is 1


2. How to calculate the greatest common divisor of 370, 153, 838, 274?

We can find the highest common divisor of 370, 153, 838, 274 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, 153, 838, 274 i.e 1.


3. How can I use the GCD of 370, 153, 838, 274Calculator?

Out the numbers 370, 153, 838, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.