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GCD of 402, 440, 694, 178 Calculator

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


Online GCD Calculator is useful to find the GCD of 402, 440, 694, 178 quickly. Get the easiest ways to solve the greatest common divisor of 402, 440, 694, 178 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 402, 440, 694, 178 with Factoring?

Given Input numbers are 402, 440, 694, 178

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178


GCD of numbers is the greatest common divisor

So, the GCD (402, 440, 694, 178) = 2.

Find GCD of 402, 440, 694, 178 using Prime Factorization

Given numbers are 402, 440, 694, 178

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 694 are 2 x 347

Prime factors of 178 are 2 x 89

The highest common occurrence is 21

Therefore, GCD of 402, 440, 694, 178 is 2.

Steps to Calculate GCD of 402, 440, 694, 178 using LCM Formula

Given numbers are 402, 440, 694, 178

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

Apply this formula for all numbers.

Step1:

LCM(402, 440) = 88440

GCD(402, 440) = ( 402 x 440 ) / 88440

= 402 / 440

= 402


Step2:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2


Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2


So, Greatest Common Divisor of 402, 440, 694, 178 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 402, 440, 694, 178

Given numbers are 402, 440, 694, 178
The greatest common divisor of numbers 402, 440, 694, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 440, 694, 178 is 2.

FAQs on GCD of 402, 440, 694, 178 Calculator

1. What is the GCD of 402, 440, 694, 178?

GCD of given numbers 402, 440, 694, 178 is 2


2. How to calculate the greatest common divisor of 402, 440, 694, 178?

We can find the highest common divisor of 402, 440, 694, 178 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 402, 440, 694, 178 i.e 2.


3. How can I use the GCD of 402, 440, 694, 178Calculator?

Out the numbers 402, 440, 694, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.