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GCD of 952, 527, 414, 401 Calculator

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


Online GCD Calculator is useful to find the GCD of 952, 527, 414, 401 quickly. Get the easiest ways to solve the greatest common divisor of 952, 527, 414, 401 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 952, 527, 414, 401 with Factoring?

Given Input numbers are 952, 527, 414, 401

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401


GCD of numbers is the greatest common divisor

So, the GCD (952, 527, 414, 401) = 1.

Find GCD of 952, 527, 414, 401 using Prime Factorization

Given numbers are 952, 527, 414, 401

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 527 are 17 x 31

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 401 are 401

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

Steps to Calculate GCD of 952, 527, 414, 401 using LCM Formula

Given numbers are 952, 527, 414, 401

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

Apply this formula for all numbers.

Step1:

LCM(952, 527) = 29512

GCD(952, 527) = ( 952 x 527 ) / 29512

= 952 / 527

= 952


Step2:

LCM(17, 414) = 7038

GCD(17, 414) = ( 17 x 414 ) / 7038

= 17 / 414

= 17


Step3:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1


So, Greatest Common Divisor of 952, 527, 414, 401 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 952, 527, 414, 401

Given numbers are 952, 527, 414, 401
The greatest common divisor of numbers 952, 527, 414, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 527, 414, 401 is 1.

FAQs on GCD of 952, 527, 414, 401 Calculator

1. What is the GCD of 952, 527, 414, 401?

GCD of given numbers 952, 527, 414, 401 is 1


2. How to calculate the greatest common divisor of 952, 527, 414, 401?

We can find the highest common divisor of 952, 527, 414, 401 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 952, 527, 414, 401 i.e 1.


3. How can I use the GCD of 952, 527, 414, 401Calculator?

Out the numbers 952, 527, 414, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.