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GCD of 10, 58, 69, 69 Calculator

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


Online GCD Calculator is useful to find the GCD of 10, 58, 69, 69 quickly. Get the easiest ways to solve the greatest common divisor of 10, 58, 69, 69 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 10, 58, 69, 69 with Factoring?

Given Input numbers are 10, 58, 69, 69

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

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69


GCD of numbers is the greatest common divisor

So, the GCD (10, 58, 69, 69) = 1.

Find GCD of 10, 58, 69, 69 using Prime Factorization

Given numbers are 10, 58, 69, 69

The list of prime factors of all numbers are

Prime factors of 10 are 2 x 5

Prime factors of 58 are 2 x 29

Prime factors of 69 are 3 x 23

Prime factors of 69 are 3 x 23

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

Steps to Calculate GCD of 10, 58, 69, 69 using LCM Formula

Given numbers are 10, 58, 69, 69

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

Apply this formula for all numbers.

Step1:

LCM(10, 58) = 290

GCD(10, 58) = ( 10 x 58 ) / 290

= 10 / 58

= 10


Step2:

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

= 2 / 69

= 2


Step3:

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

= 1 / 69

= 1


So, Greatest Common Divisor of 10, 58, 69, 69 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 10, 58, 69, 69

Given numbers are 10, 58, 69, 69
The greatest common divisor of numbers 10, 58, 69, 69 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 10, 58, 69, 69 is 1.

FAQs on GCD of 10, 58, 69, 69 Calculator

1. What is the GCD of 10, 58, 69, 69?

GCD of given numbers 10, 58, 69, 69 is 1


2. How to calculate the greatest common divisor of 10, 58, 69, 69?

We can find the highest common divisor of 10, 58, 69, 69 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 10, 58, 69, 69 i.e 1.


3. How can I use the GCD of 10, 58, 69, 69Calculator?

Out the numbers 10, 58, 69, 69 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.