Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 704, 847, 37, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 847, 37, 670 is 1
GCD(704, 847, 37, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 847, 37, 670 is 1
GCD(704, 847, 37, 670) = 1
Given Input numbers are 704, 847, 37, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 704, 847, 37, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 847, 37, 670 is 1.
Therefore, GCD of numbers 704, 847, 37, 670 is 1
Given Input Data is 704, 847, 37, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 37 is 37
Prime Factorization of 670 is 2 x 5 x 67
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(704, 847) = 54208
GCD(704, 847) = ( 704 x 847 ) / 54208
GCD(704, 847) = 596288 / 54208
GCD(704, 847) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 37) = 407
GCD(11, 37) = ( 11 x 37 ) / 407
GCD(11, 37) = 407 / 407
GCD(11, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 704, 847, 37, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 847, 37, 670?
GCD of 704, 847, 37, 670 is 1
2. Where do I get the detailed procedure to find GCD of 704, 847, 37, 670?
You can find a detailed procedure to find GCD of 704, 847, 37, 670 on our page.
3. How to find GCD of 704, 847, 37, 670 on a calculator?
You can find the GCD of 704, 847, 37, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.