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GCD of 737, 198, 686, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 737, 198, 686, 672 quickly. Get the easiest ways to solve the greatest common divisor of 737, 198, 686, 672 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 737, 198, 686, 672 with Factoring?

Given Input numbers are 737, 198, 686, 672

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

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (737, 198, 686, 672) = 1.

Find GCD of 737, 198, 686, 672 using Prime Factorization

Given numbers are 737, 198, 686, 672

The list of prime factors of all numbers are

Prime factors of 737 are 11 x 67

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

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 737, 198, 686, 672 using LCM Formula

Given numbers are 737, 198, 686, 672

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

Apply this formula for all numbers.

Step1:

LCM(737, 198) = 13266

GCD(737, 198) = ( 737 x 198 ) / 13266

= 737 / 198

= 737


Step2:

LCM(11, 686) = 7546

GCD(11, 686) = ( 11 x 686 ) / 7546

= 11 / 686

= 11


Step3:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1


So, Greatest Common Divisor of 737, 198, 686, 672 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 737, 198, 686, 672

Given numbers are 737, 198, 686, 672
The greatest common divisor of numbers 737, 198, 686, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 198, 686, 672 is 1.

FAQs on GCD of 737, 198, 686, 672 Calculator

1. What is the GCD of 737, 198, 686, 672?

GCD of given numbers 737, 198, 686, 672 is 1


2. How to calculate the greatest common divisor of 737, 198, 686, 672?

We can find the highest common divisor of 737, 198, 686, 672 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 737, 198, 686, 672 i.e 1.


3. How can I use the GCD of 737, 198, 686, 672Calculator?

Out the numbers 737, 198, 686, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.