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 357, 684, 74, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 684, 74, 757 is 1
GCD(357, 684, 74, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 684, 74, 757 is 1
GCD(357, 684, 74, 757) = 1
Given Input numbers are 357, 684, 74, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 357, 684, 74, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 684, 74, 757 is 1.
Therefore, GCD of numbers 357, 684, 74, 757 is 1
Given Input Data is 357, 684, 74, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 74 is 2 x 37
Prime Factorization of 757 is 757
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(357, 684) = 81396
GCD(357, 684) = ( 357 x 684 ) / 81396
GCD(357, 684) = 244188 / 81396
GCD(357, 684) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 74) = 222
GCD(3, 74) = ( 3 x 74 ) / 222
GCD(3, 74) = 222 / 222
GCD(3, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 357, 684, 74, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 684, 74, 757?
GCD of 357, 684, 74, 757 is 1
2. Where do I get the detailed procedure to find GCD of 357, 684, 74, 757?
You can find a detailed procedure to find GCD of 357, 684, 74, 757 on our page.
3. How to find GCD of 357, 684, 74, 757 on a calculator?
You can find the GCD of 357, 684, 74, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.