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GCD of 920, 314, 166, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 314, 166, 670 quickly. Get the easiest ways to solve the greatest common divisor of 920, 314, 166, 670 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 314, 166, 670 with Factoring?

Given Input numbers are 920, 314, 166, 670

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (920, 314, 166, 670) = 2.

Find GCD of 920, 314, 166, 670 using Prime Factorization

Given numbers are 920, 314, 166, 670

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 314 are 2 x 157

Prime factors of 166 are 2 x 83

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 21

Therefore, GCD of 920, 314, 166, 670 is 2.

Steps to Calculate GCD of 920, 314, 166, 670 using LCM Formula

Given numbers are 920, 314, 166, 670

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

Apply this formula for all numbers.

Step1:

LCM(920, 314) = 144440

GCD(920, 314) = ( 920 x 314 ) / 144440

= 920 / 314

= 920


Step2:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2


Step3:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2


So, Greatest Common Divisor of 920, 314, 166, 670 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 314, 166, 670

Given numbers are 920, 314, 166, 670
The greatest common divisor of numbers 920, 314, 166, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 314, 166, 670 is 2.

FAQs on GCD of 920, 314, 166, 670 Calculator

1. What is the GCD of 920, 314, 166, 670?

GCD of given numbers 920, 314, 166, 670 is 2


2. How to calculate the greatest common divisor of 920, 314, 166, 670?

We can find the highest common divisor of 920, 314, 166, 670 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 920, 314, 166, 670 i.e 2.


3. How can I use the GCD of 920, 314, 166, 670Calculator?

Out the numbers 920, 314, 166, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.