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GCD of 253, 690, 786, 340 Calculator

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


Online GCD Calculator is useful to find the GCD of 253, 690, 786, 340 quickly. Get the easiest ways to solve the greatest common divisor of 253, 690, 786, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 253, 690, 786, 340 with Factoring?

Given Input numbers are 253, 690, 786, 340

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (253, 690, 786, 340) = 1.

Find GCD of 253, 690, 786, 340 using Prime Factorization

Given numbers are 253, 690, 786, 340

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 786 are 2 x 3 x 131

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 253, 690, 786, 340 using LCM Formula

Given numbers are 253, 690, 786, 340

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

Apply this formula for all numbers.

Step1:

LCM(253, 690) = 7590

GCD(253, 690) = ( 253 x 690 ) / 7590

= 253 / 690

= 253


Step2:

LCM(23, 786) = 18078

GCD(23, 786) = ( 23 x 786 ) / 18078

= 23 / 786

= 23


Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


So, Greatest Common Divisor of 253, 690, 786, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 253, 690, 786, 340

Given numbers are 253, 690, 786, 340
The greatest common divisor of numbers 253, 690, 786, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 690, 786, 340 is 1.

FAQs on GCD of 253, 690, 786, 340 Calculator

1. What is the GCD of 253, 690, 786, 340?

GCD of given numbers 253, 690, 786, 340 is 1


2. How to calculate the greatest common divisor of 253, 690, 786, 340?

We can find the highest common divisor of 253, 690, 786, 340 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 253, 690, 786, 340 i.e 1.


3. How can I use the GCD of 253, 690, 786, 340Calculator?

Out the numbers 253, 690, 786, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.