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 747, 150, 35, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 150, 35, 764 is 1
GCD(747, 150, 35, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 150, 35, 764 is 1
GCD(747, 150, 35, 764) = 1
Given Input numbers are 747, 150, 35, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 747, 150, 35, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 150, 35, 764 is 1.
Therefore, GCD of numbers 747, 150, 35, 764 is 1
Given Input Data is 747, 150, 35, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 35 is 5 x 7
Prime Factorization of 764 is 2 x 2 x 191
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(747, 150) = 37350
GCD(747, 150) = ( 747 x 150 ) / 37350
GCD(747, 150) = 112050 / 37350
GCD(747, 150) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 35) = 105
GCD(3, 35) = ( 3 x 35 ) / 105
GCD(3, 35) = 105 / 105
GCD(3, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 747, 150, 35, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 150, 35, 764?
GCD of 747, 150, 35, 764 is 1
2. Where do I get the detailed procedure to find GCD of 747, 150, 35, 764?
You can find a detailed procedure to find GCD of 747, 150, 35, 764 on our page.
3. How to find GCD of 747, 150, 35, 764 on a calculator?
You can find the GCD of 747, 150, 35, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.