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, 770, 266, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 770, 266, 525 is 1
GCD(747, 770, 266, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 770, 266, 525 is 1
GCD(747, 770, 266, 525) = 1
Given Input numbers are 747, 770, 266, 525
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 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 747, 770, 266, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 770, 266, 525 is 1.
Therefore, GCD of numbers 747, 770, 266, 525 is 1
Given Input Data is 747, 770, 266, 525
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 770 is 2 x 5 x 7 x 11
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 525 is 3 x 5 x 5 x 7
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, 770) = 575190
GCD(747, 770) = ( 747 x 770 ) / 575190
GCD(747, 770) = 575190 / 575190
GCD(747, 770) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
GCD of 747, 770, 266, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 770, 266, 525?
GCD of 747, 770, 266, 525 is 1
2. Where do I get the detailed procedure to find GCD of 747, 770, 266, 525?
You can find a detailed procedure to find GCD of 747, 770, 266, 525 on our page.
3. How to find GCD of 747, 770, 266, 525 on a calculator?
You can find the GCD of 747, 770, 266, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.