LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 340, 409, 967, 972 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, 409, 967, 972 quickly. Get the easiest ways to solve the greatest common divisor of 340, 409, 967, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 409, 967, 972 with Factoring?

Given Input numbers are 340, 409, 967, 972

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 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972


GCD of numbers is the greatest common divisor

So, the GCD (340, 409, 967, 972) = 1.

Find GCD of 340, 409, 967, 972 using Prime Factorization

Given numbers are 340, 409, 967, 972

The list of prime factors of all numbers are

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

Prime factors of 409 are 409

Prime factors of 967 are 967

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 340, 409, 967, 972 using LCM Formula

Given numbers are 340, 409, 967, 972

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

Apply this formula for all numbers.

Step1:

LCM(340, 409) = 139060

GCD(340, 409) = ( 340 x 409 ) / 139060

= 340 / 409

= 340


Step2:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1


Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


So, Greatest Common Divisor of 340, 409, 967, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 409, 967, 972

Given numbers are 340, 409, 967, 972
The greatest common divisor of numbers 340, 409, 967, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 409, 967, 972 is 1.

FAQs on GCD of 340, 409, 967, 972 Calculator

1. What is the GCD of 340, 409, 967, 972?

GCD of given numbers 340, 409, 967, 972 is 1


2. How to calculate the greatest common divisor of 340, 409, 967, 972?

We can find the highest common divisor of 340, 409, 967, 972 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, 409, 967, 972 i.e 1.


3. How can I use the GCD of 340, 409, 967, 972Calculator?

Out the numbers 340, 409, 967, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.