GCD of 357, 504, 947 Calculator
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, 504, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 504, 947 is 1
GCD(357, 504, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 504, 947 is 1
GCD(357, 504, 947) = 1
GCDof 357,504,947 is 1
Given Input numbers are 357, 504, 947
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 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 357, 504, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 504, 947 is 1.
Therefore, GCD of numbers 357, 504, 947 is 1
Given Input Data is 357, 504, 947
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 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 947 is 947
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 357, 504, 947 using LCM Formula
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, 504) = 8568
GCD(357, 504) = ( 357 x 504 ) / 8568
GCD(357, 504) = 179928 / 8568
GCD(357, 504) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 947) = 19887
GCD(21, 947) = ( 21 x 947 ) / 19887
GCD(21, 947) = 19887 / 19887
GCD(21, 947) = 1
GCD of 357, 504, 947 is 1
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FAQs on GCD of numbers 357, 504, 947
1. What is the GCD of 357, 504, 947?
GCD of 357, 504, 947 is 1
2. Where do I get the detailed procedure to find GCD of 357, 504, 947?
You can find a detailed procedure to find GCD of 357, 504, 947 on our page.
3. How to find GCD of 357, 504, 947 on a calculator?
You can find the GCD of 357, 504, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.