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 946, 550, 734, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 550, 734, 537 is 1
GCD(946, 550, 734, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 550, 734, 537 is 1
GCD(946, 550, 734, 537) = 1
Given Input numbers are 946, 550, 734, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 946, 550, 734, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 550, 734, 537 is 1.
Therefore, GCD of numbers 946, 550, 734, 537 is 1
Given Input Data is 946, 550, 734, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 734 is 2 x 367
Prime Factorization of 537 is 3 x 179
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(946, 550) = 23650
GCD(946, 550) = ( 946 x 550 ) / 23650
GCD(946, 550) = 520300 / 23650
GCD(946, 550) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 734) = 8074
GCD(22, 734) = ( 22 x 734 ) / 8074
GCD(22, 734) = 16148 / 8074
GCD(22, 734) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 537) = 1074
GCD(2, 537) = ( 2 x 537 ) / 1074
GCD(2, 537) = 1074 / 1074
GCD(2, 537) = 1
GCD of 946, 550, 734, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 550, 734, 537?
GCD of 946, 550, 734, 537 is 1
2. Where do I get the detailed procedure to find GCD of 946, 550, 734, 537?
You can find a detailed procedure to find GCD of 946, 550, 734, 537 on our page.
3. How to find GCD of 946, 550, 734, 537 on a calculator?
You can find the GCD of 946, 550, 734, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.