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GCD of 414, 848, 477, 167 Calculator

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


Online GCD Calculator is useful to find the GCD of 414, 848, 477, 167 quickly. Get the easiest ways to solve the greatest common divisor of 414, 848, 477, 167 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 414, 848, 477, 167 with Factoring?

Given Input numbers are 414, 848, 477, 167

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

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167


GCD of numbers is the greatest common divisor

So, the GCD (414, 848, 477, 167) = 1.

Find GCD of 414, 848, 477, 167 using Prime Factorization

Given numbers are 414, 848, 477, 167

The list of prime factors of all numbers are

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

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 477 are 3 x 3 x 53

Prime factors of 167 are 167

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

Steps to Calculate GCD of 414, 848, 477, 167 using LCM Formula

Given numbers are 414, 848, 477, 167

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

Apply this formula for all numbers.

Step1:

LCM(414, 848) = 175536

GCD(414, 848) = ( 414 x 848 ) / 175536

= 414 / 848

= 414


Step2:

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

= 2 / 477

= 2


Step3:

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

= 1 / 167

= 1


So, Greatest Common Divisor of 414, 848, 477, 167 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 414, 848, 477, 167

Given numbers are 414, 848, 477, 167
The greatest common divisor of numbers 414, 848, 477, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 848, 477, 167 is 1.

FAQs on GCD of 414, 848, 477, 167 Calculator

1. What is the GCD of 414, 848, 477, 167?

GCD of given numbers 414, 848, 477, 167 is 1


2. How to calculate the greatest common divisor of 414, 848, 477, 167?

We can find the highest common divisor of 414, 848, 477, 167 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 414, 848, 477, 167 i.e 1.


3. How can I use the GCD of 414, 848, 477, 167Calculator?

Out the numbers 414, 848, 477, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.