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 770, 785, 572, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 785, 572, 575 is 1
GCD(770, 785, 572, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 785, 572, 575 is 1
GCD(770, 785, 572, 575) = 1
Given Input numbers are 770, 785, 572, 575
To find the GCD of numbers using factoring list out all the divisors of each number
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 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 770, 785, 572, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 785, 572, 575 is 1.
Therefore, GCD of numbers 770, 785, 572, 575 is 1
Given Input Data is 770, 785, 572, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 785 is 5 x 157
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 575 is 5 x 5 x 23
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(770, 785) = 120890
GCD(770, 785) = ( 770 x 785 ) / 120890
GCD(770, 785) = 604450 / 120890
GCD(770, 785) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 572) = 2860
GCD(5, 572) = ( 5 x 572 ) / 2860
GCD(5, 572) = 2860 / 2860
GCD(5, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 770, 785, 572, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 785, 572, 575?
GCD of 770, 785, 572, 575 is 1
2. Where do I get the detailed procedure to find GCD of 770, 785, 572, 575?
You can find a detailed procedure to find GCD of 770, 785, 572, 575 on our page.
3. How to find GCD of 770, 785, 572, 575 on a calculator?
You can find the GCD of 770, 785, 572, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.