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 749, 972, 769, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 972, 769, 155 is 1
GCD(749, 972, 769, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 972, 769, 155 is 1
GCD(749, 972, 769, 155) = 1
Given Input numbers are 749, 972, 769, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 749, 972, 769, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 972, 769, 155 is 1.
Therefore, GCD of numbers 749, 972, 769, 155 is 1
Given Input Data is 749, 972, 769, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 769 is 769
Prime Factorization of 155 is 5 x 31
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(749, 972) = 728028
GCD(749, 972) = ( 749 x 972 ) / 728028
GCD(749, 972) = 728028 / 728028
GCD(749, 972) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 749, 972, 769, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 972, 769, 155?
GCD of 749, 972, 769, 155 is 1
2. Where do I get the detailed procedure to find GCD of 749, 972, 769, 155?
You can find a detailed procedure to find GCD of 749, 972, 769, 155 on our page.
3. How to find GCD of 749, 972, 769, 155 on a calculator?
You can find the GCD of 749, 972, 769, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.