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GCD of 826, 109, 212, 737 Calculator

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


Online GCD Calculator is useful to find the GCD of 826, 109, 212, 737 quickly. Get the easiest ways to solve the greatest common divisor of 826, 109, 212, 737 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 109, 212, 737 with Factoring?

Given Input numbers are 826, 109, 212, 737

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 737 :

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

1, 11, 67, 737


GCD of numbers is the greatest common divisor

So, the GCD (826, 109, 212, 737) = 1.

Find GCD of 826, 109, 212, 737 using Prime Factorization

Given numbers are 826, 109, 212, 737

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 109 are 109

Prime factors of 212 are 2 x 2 x 53

Prime factors of 737 are 11 x 67

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

Steps to Calculate GCD of 826, 109, 212, 737 using LCM Formula

Given numbers are 826, 109, 212, 737

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

Apply this formula for all numbers.

Step1:

LCM(826, 109) = 90034

GCD(826, 109) = ( 826 x 109 ) / 90034

= 826 / 109

= 826


Step2:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1


Step3:

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

= 1 / 737

= 1


So, Greatest Common Divisor of 826, 109, 212, 737 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 109, 212, 737

Given numbers are 826, 109, 212, 737
The greatest common divisor of numbers 826, 109, 212, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 109, 212, 737 is 1.

FAQs on GCD of 826, 109, 212, 737 Calculator

1. What is the GCD of 826, 109, 212, 737?

GCD of given numbers 826, 109, 212, 737 is 1


2. How to calculate the greatest common divisor of 826, 109, 212, 737?

We can find the highest common divisor of 826, 109, 212, 737 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 826, 109, 212, 737 i.e 1.


3. How can I use the GCD of 826, 109, 212, 737Calculator?

Out the numbers 826, 109, 212, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.