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GCD of 704, 302, 77, 677 Calculator

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


Online GCD Calculator is useful to find the GCD of 704, 302, 77, 677 quickly. Get the easiest ways to solve the greatest common divisor of 704, 302, 77, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 302, 77, 677 with Factoring?

Given Input numbers are 704, 302, 77, 677

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (704, 302, 77, 677) = 1.

Find GCD of 704, 302, 77, 677 using Prime Factorization

Given numbers are 704, 302, 77, 677

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 302 are 2 x 151

Prime factors of 77 are 7 x 11

Prime factors of 677 are 677

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

Steps to Calculate GCD of 704, 302, 77, 677 using LCM Formula

Given numbers are 704, 302, 77, 677

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

Apply this formula for all numbers.

Step1:

LCM(704, 302) = 106304

GCD(704, 302) = ( 704 x 302 ) / 106304

= 704 / 302

= 704


Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 704, 302, 77, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 302, 77, 677

Given numbers are 704, 302, 77, 677
The greatest common divisor of numbers 704, 302, 77, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 302, 77, 677 is 1.

FAQs on GCD of 704, 302, 77, 677 Calculator

1. What is the GCD of 704, 302, 77, 677?

GCD of given numbers 704, 302, 77, 677 is 1


2. How to calculate the greatest common divisor of 704, 302, 77, 677?

We can find the highest common divisor of 704, 302, 77, 677 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 704, 302, 77, 677 i.e 1.


3. How can I use the GCD of 704, 302, 77, 677Calculator?

Out the numbers 704, 302, 77, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.