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GCD of 448, 766, 689, 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 448, 766, 689, 167 quickly. Get the easiest ways to solve the greatest common divisor of 448, 766, 689, 167 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 448, 766, 689, 167 with Factoring?

Given Input numbers are 448, 766, 689, 167

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 (448, 766, 689, 167) = 1.

Find GCD of 448, 766, 689, 167 using Prime Factorization

Given numbers are 448, 766, 689, 167

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 766 are 2 x 383

Prime factors of 689 are 13 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 448, 766, 689, 167 using LCM Formula

Given numbers are 448, 766, 689, 167

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

Apply this formula for all numbers.

Step1:

LCM(448, 766) = 171584

GCD(448, 766) = ( 448 x 766 ) / 171584

= 448 / 766

= 448


Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2


Step3:

LCM(1, 167) = 167

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

= 1 / 167

= 1


So, Greatest Common Divisor of 448, 766, 689, 167 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 448, 766, 689, 167

Given numbers are 448, 766, 689, 167
The greatest common divisor of numbers 448, 766, 689, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 766, 689, 167 is 1.

FAQs on GCD of 448, 766, 689, 167 Calculator

1. What is the GCD of 448, 766, 689, 167?

GCD of given numbers 448, 766, 689, 167 is 1


2. How to calculate the greatest common divisor of 448, 766, 689, 167?

We can find the highest common divisor of 448, 766, 689, 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 448, 766, 689, 167 i.e 1.


3. How can I use the GCD of 448, 766, 689, 167Calculator?

Out the numbers 448, 766, 689, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.