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GCD of 734, 400, 408, 125 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 400, 408, 125 quickly. Get the easiest ways to solve the greatest common divisor of 734, 400, 408, 125 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 400, 408, 125 with Factoring?

Given Input numbers are 734, 400, 408, 125

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125


GCD of numbers is the greatest common divisor

So, the GCD (734, 400, 408, 125) = 1.

Find GCD of 734, 400, 408, 125 using Prime Factorization

Given numbers are 734, 400, 408, 125

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 125 are 5 x 5 x 5

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

Steps to Calculate GCD of 734, 400, 408, 125 using LCM Formula

Given numbers are 734, 400, 408, 125

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

Apply this formula for all numbers.

Step1:

LCM(734, 400) = 146800

GCD(734, 400) = ( 734 x 400 ) / 146800

= 734 / 400

= 734


Step2:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2


Step3:

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

= 2 / 125

= 2


So, Greatest Common Divisor of 734, 400, 408, 125 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 400, 408, 125

Given numbers are 734, 400, 408, 125
The greatest common divisor of numbers 734, 400, 408, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 400, 408, 125 is 1.

FAQs on GCD of 734, 400, 408, 125 Calculator

1. What is the GCD of 734, 400, 408, 125?

GCD of given numbers 734, 400, 408, 125 is 1


2. How to calculate the greatest common divisor of 734, 400, 408, 125?

We can find the highest common divisor of 734, 400, 408, 125 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 734, 400, 408, 125 i.e 1.


3. How can I use the GCD of 734, 400, 408, 125Calculator?

Out the numbers 734, 400, 408, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.