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GCD of 704, 736, 643, 956 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, 736, 643, 956 quickly. Get the easiest ways to solve the greatest common divisor of 704, 736, 643, 956 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 736, 643, 956 with Factoring?

Given Input numbers are 704, 736, 643, 956

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956


GCD of numbers is the greatest common divisor

So, the GCD (704, 736, 643, 956) = 1.

Find GCD of 704, 736, 643, 956 using Prime Factorization

Given numbers are 704, 736, 643, 956

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 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 643 are 643

Prime factors of 956 are 2 x 2 x 239

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

Steps to Calculate GCD of 704, 736, 643, 956 using LCM Formula

Given numbers are 704, 736, 643, 956

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

Apply this formula for all numbers.

Step1:

LCM(704, 736) = 16192

GCD(704, 736) = ( 704 x 736 ) / 16192

= 704 / 736

= 704


Step2:

LCM(32, 643) = 20576

GCD(32, 643) = ( 32 x 643 ) / 20576

= 32 / 643

= 32


Step3:

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

= 1 / 956

= 1


So, Greatest Common Divisor of 704, 736, 643, 956 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 736, 643, 956

Given numbers are 704, 736, 643, 956
The greatest common divisor of numbers 704, 736, 643, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 736, 643, 956 is 1.

FAQs on GCD of 704, 736, 643, 956 Calculator

1. What is the GCD of 704, 736, 643, 956?

GCD of given numbers 704, 736, 643, 956 is 1


2. How to calculate the greatest common divisor of 704, 736, 643, 956?

We can find the highest common divisor of 704, 736, 643, 956 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, 736, 643, 956 i.e 1.


3. How can I use the GCD of 704, 736, 643, 956Calculator?

Out the numbers 704, 736, 643, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.