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GCD of 340, 814, 136, 745 Calculator

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


Online GCD Calculator is useful to find the GCD of 340, 814, 136, 745 quickly. Get the easiest ways to solve the greatest common divisor of 340, 814, 136, 745 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 814, 136, 745 with Factoring?

Given Input numbers are 340, 814, 136, 745

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

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745


GCD of numbers is the greatest common divisor

So, the GCD (340, 814, 136, 745) = 1.

Find GCD of 340, 814, 136, 745 using Prime Factorization

Given numbers are 340, 814, 136, 745

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 745 are 5 x 149

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

Steps to Calculate GCD of 340, 814, 136, 745 using LCM Formula

Given numbers are 340, 814, 136, 745

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

Apply this formula for all numbers.

Step1:

LCM(340, 814) = 138380

GCD(340, 814) = ( 340 x 814 ) / 138380

= 340 / 814

= 340


Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2


Step3:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2


So, Greatest Common Divisor of 340, 814, 136, 745 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 814, 136, 745

Given numbers are 340, 814, 136, 745
The greatest common divisor of numbers 340, 814, 136, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 814, 136, 745 is 1.

FAQs on GCD of 340, 814, 136, 745 Calculator

1. What is the GCD of 340, 814, 136, 745?

GCD of given numbers 340, 814, 136, 745 is 1


2. How to calculate the greatest common divisor of 340, 814, 136, 745?

We can find the highest common divisor of 340, 814, 136, 745 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 340, 814, 136, 745 i.e 1.


3. How can I use the GCD of 340, 814, 136, 745Calculator?

Out the numbers 340, 814, 136, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.