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 738, 784, 35, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 784, 35, 941 is 1
GCD(738, 784, 35, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 784, 35, 941 is 1
GCD(738, 784, 35, 941) = 1
Given Input numbers are 738, 784, 35, 941
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 738, 784, 35, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 784, 35, 941 is 1.
Therefore, GCD of numbers 738, 784, 35, 941 is 1
Given Input Data is 738, 784, 35, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 35 is 5 x 7
Prime Factorization of 941 is 941
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(738, 784) = 289296
GCD(738, 784) = ( 738 x 784 ) / 289296
GCD(738, 784) = 578592 / 289296
GCD(738, 784) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
GCD of 738, 784, 35, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 784, 35, 941?
GCD of 738, 784, 35, 941 is 1
2. Where do I get the detailed procedure to find GCD of 738, 784, 35, 941?
You can find a detailed procedure to find GCD of 738, 784, 35, 941 on our page.
3. How to find GCD of 738, 784, 35, 941 on a calculator?
You can find the GCD of 738, 784, 35, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.