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GCD of 408, 684, 807, 958 Calculator

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


Online GCD Calculator is useful to find the GCD of 408, 684, 807, 958 quickly. Get the easiest ways to solve the greatest common divisor of 408, 684, 807, 958 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 408, 684, 807, 958 with Factoring?

Given Input numbers are 408, 684, 807, 958

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958


GCD of numbers is the greatest common divisor

So, the GCD (408, 684, 807, 958) = 1.

Find GCD of 408, 684, 807, 958 using Prime Factorization

Given numbers are 408, 684, 807, 958

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 807 are 3 x 269

Prime factors of 958 are 2 x 479

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

Steps to Calculate GCD of 408, 684, 807, 958 using LCM Formula

Given numbers are 408, 684, 807, 958

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

Apply this formula for all numbers.

Step1:

LCM(408, 684) = 23256

GCD(408, 684) = ( 408 x 684 ) / 23256

= 408 / 684

= 408


Step2:

LCM(12, 807) = 3228

GCD(12, 807) = ( 12 x 807 ) / 3228

= 12 / 807

= 12


Step3:

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

= 3 / 958

= 3


So, Greatest Common Divisor of 408, 684, 807, 958 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 408, 684, 807, 958

Given numbers are 408, 684, 807, 958
The greatest common divisor of numbers 408, 684, 807, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 684, 807, 958 is 1.

FAQs on GCD of 408, 684, 807, 958 Calculator

1. What is the GCD of 408, 684, 807, 958?

GCD of given numbers 408, 684, 807, 958 is 1


2. How to calculate the greatest common divisor of 408, 684, 807, 958?

We can find the highest common divisor of 408, 684, 807, 958 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 408, 684, 807, 958 i.e 1.


3. How can I use the GCD of 408, 684, 807, 958Calculator?

Out the numbers 408, 684, 807, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.