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GCD of 704, 867, 434, 980 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, 867, 434, 980 quickly. Get the easiest ways to solve the greatest common divisor of 704, 867, 434, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 867, 434, 980 with Factoring?

Given Input numbers are 704, 867, 434, 980

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 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (704, 867, 434, 980) = 1.

Find GCD of 704, 867, 434, 980 using Prime Factorization

Given numbers are 704, 867, 434, 980

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 867 are 3 x 17 x 17

Prime factors of 434 are 2 x 7 x 31

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 704, 867, 434, 980 using LCM Formula

Given numbers are 704, 867, 434, 980

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

Apply this formula for all numbers.

Step1:

LCM(704, 867) = 610368

GCD(704, 867) = ( 704 x 867 ) / 610368

= 704 / 867

= 704


Step2:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1


Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


So, Greatest Common Divisor of 704, 867, 434, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 867, 434, 980

Given numbers are 704, 867, 434, 980
The greatest common divisor of numbers 704, 867, 434, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 867, 434, 980 is 1.

FAQs on GCD of 704, 867, 434, 980 Calculator

1. What is the GCD of 704, 867, 434, 980?

GCD of given numbers 704, 867, 434, 980 is 1


2. How to calculate the greatest common divisor of 704, 867, 434, 980?

We can find the highest common divisor of 704, 867, 434, 980 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, 867, 434, 980 i.e 1.


3. How can I use the GCD of 704, 867, 434, 980Calculator?

Out the numbers 704, 867, 434, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.