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 597, 974, 245, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 974, 245, 354 is 1
GCD(597, 974, 245, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 974, 245, 354 is 1
GCD(597, 974, 245, 354) = 1
Given Input numbers are 597, 974, 245, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 597, 974, 245, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 974, 245, 354 is 1.
Therefore, GCD of numbers 597, 974, 245, 354 is 1
Given Input Data is 597, 974, 245, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 974 is 2 x 487
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 354 is 2 x 3 x 59
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(597, 974) = 581478
GCD(597, 974) = ( 597 x 974 ) / 581478
GCD(597, 974) = 581478 / 581478
GCD(597, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 597, 974, 245, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 974, 245, 354?
GCD of 597, 974, 245, 354 is 1
2. Where do I get the detailed procedure to find GCD of 597, 974, 245, 354?
You can find a detailed procedure to find GCD of 597, 974, 245, 354 on our page.
3. How to find GCD of 597, 974, 245, 354 on a calculator?
You can find the GCD of 597, 974, 245, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.