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GCD of 109, 826, 948 Calculator

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


Online GCD Calculator is useful to find the GCD of 109, 826, 948 quickly. Get the easiest ways to solve the greatest common divisor of 109, 826, 948 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 109, 826, 948 with Factoring?

Given Input numbers are 109, 826, 948

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

Divisors of 109 :

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

1, 109

Divisors of 826 :

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

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (109, 826, 948) = 1.

Find GCD of 109, 826, 948 using Prime Factorization

Given numbers are 109, 826, 948

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 826 are 2 x 7 x 59

Prime factors of 948 are 2 x 2 x 3 x 79

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

Steps to Calculate GCD of 109, 826, 948 using LCM Formula

Given numbers are 109, 826, 948

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

Apply this formula for all numbers.

Step1:

LCM(109, 826) = 90034

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

= 109 / 826

= 109


Step2:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1


So, Greatest Common Divisor of 109, 826, 948 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 109, 826, 948

Given numbers are 109, 826, 948
The greatest common divisor of numbers 109, 826, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 826, 948 is 1.

FAQs on GCD of 109, 826, 948 Calculator

1. What is the GCD of 109, 826, 948?

GCD of given numbers 109, 826, 948 is 1


2. How to calculate the greatest common divisor of 109, 826, 948?

We can find the highest common divisor of 109, 826, 948 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 109, 826, 948 i.e 1.


3. How can I use the GCD of 109, 826, 948Calculator?

Out the numbers 109, 826, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.