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GCD of 196, 427, 734, 275 Calculator

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


Online GCD Calculator is useful to find the GCD of 196, 427, 734, 275 quickly. Get the easiest ways to solve the greatest common divisor of 196, 427, 734, 275 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 427, 734, 275 with Factoring?

Given Input numbers are 196, 427, 734, 275

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275


GCD of numbers is the greatest common divisor

So, the GCD (196, 427, 734, 275) = 1.

Find GCD of 196, 427, 734, 275 using Prime Factorization

Given numbers are 196, 427, 734, 275

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 427 are 7 x 61

Prime factors of 734 are 2 x 367

Prime factors of 275 are 5 x 5 x 11

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

Steps to Calculate GCD of 196, 427, 734, 275 using LCM Formula

Given numbers are 196, 427, 734, 275

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

Apply this formula for all numbers.

Step1:

LCM(196, 427) = 11956

GCD(196, 427) = ( 196 x 427 ) / 11956

= 196 / 427

= 196


Step2:

LCM(7, 734) = 5138

GCD(7, 734) = ( 7 x 734 ) / 5138

= 7 / 734

= 7


Step3:

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

= 1 / 275

= 1


So, Greatest Common Divisor of 196, 427, 734, 275 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 427, 734, 275

Given numbers are 196, 427, 734, 275
The greatest common divisor of numbers 196, 427, 734, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 427, 734, 275 is 1.

FAQs on GCD of 196, 427, 734, 275 Calculator

1. What is the GCD of 196, 427, 734, 275?

GCD of given numbers 196, 427, 734, 275 is 1


2. How to calculate the greatest common divisor of 196, 427, 734, 275?

We can find the highest common divisor of 196, 427, 734, 275 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 196, 427, 734, 275 i.e 1.


3. How can I use the GCD of 196, 427, 734, 275Calculator?

Out the numbers 196, 427, 734, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.