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GCD of 704, 764, 701, 111 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, 764, 701, 111 quickly. Get the easiest ways to solve the greatest common divisor of 704, 764, 701, 111 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 764, 701, 111 with Factoring?

Given Input numbers are 704, 764, 701, 111

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111


GCD of numbers is the greatest common divisor

So, the GCD (704, 764, 701, 111) = 1.

Find GCD of 704, 764, 701, 111 using Prime Factorization

Given numbers are 704, 764, 701, 111

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 764 are 2 x 2 x 191

Prime factors of 701 are 701

Prime factors of 111 are 3 x 37

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

Steps to Calculate GCD of 704, 764, 701, 111 using LCM Formula

Given numbers are 704, 764, 701, 111

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

Apply this formula for all numbers.

Step1:

LCM(704, 764) = 134464

GCD(704, 764) = ( 704 x 764 ) / 134464

= 704 / 764

= 704


Step2:

LCM(4, 701) = 2804

GCD(4, 701) = ( 4 x 701 ) / 2804

= 4 / 701

= 4


Step3:

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

= 1 / 111

= 1


So, Greatest Common Divisor of 704, 764, 701, 111 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 764, 701, 111

Given numbers are 704, 764, 701, 111
The greatest common divisor of numbers 704, 764, 701, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 764, 701, 111 is 1.

FAQs on GCD of 704, 764, 701, 111 Calculator

1. What is the GCD of 704, 764, 701, 111?

GCD of given numbers 704, 764, 701, 111 is 1


2. How to calculate the greatest common divisor of 704, 764, 701, 111?

We can find the highest common divisor of 704, 764, 701, 111 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, 764, 701, 111 i.e 1.


3. How can I use the GCD of 704, 764, 701, 111Calculator?

Out the numbers 704, 764, 701, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.