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GCD of 704, 103, 240, 277 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, 103, 240, 277 quickly. Get the easiest ways to solve the greatest common divisor of 704, 103, 240, 277 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 103, 240, 277 with Factoring?

Given Input numbers are 704, 103, 240, 277

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 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277


GCD of numbers is the greatest common divisor

So, the GCD (704, 103, 240, 277) = 1.

Find GCD of 704, 103, 240, 277 using Prime Factorization

Given numbers are 704, 103, 240, 277

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 103 are 103

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 277 are 277

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

Steps to Calculate GCD of 704, 103, 240, 277 using LCM Formula

Given numbers are 704, 103, 240, 277

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

Apply this formula for all numbers.

Step1:

LCM(704, 103) = 72512

GCD(704, 103) = ( 704 x 103 ) / 72512

= 704 / 103

= 704


Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


Step3:

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

= 1 / 277

= 1


So, Greatest Common Divisor of 704, 103, 240, 277 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 103, 240, 277

Given numbers are 704, 103, 240, 277
The greatest common divisor of numbers 704, 103, 240, 277 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 103, 240, 277 is 1.

FAQs on GCD of 704, 103, 240, 277 Calculator

1. What is the GCD of 704, 103, 240, 277?

GCD of given numbers 704, 103, 240, 277 is 1


2. How to calculate the greatest common divisor of 704, 103, 240, 277?

We can find the highest common divisor of 704, 103, 240, 277 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, 103, 240, 277 i.e 1.


3. How can I use the GCD of 704, 103, 240, 277Calculator?

Out the numbers 704, 103, 240, 277 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.