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, 525, 840, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 525, 840, 787 is 1
GCD(770, 525, 840, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 525, 840, 787 is 1
GCD(770, 525, 840, 787) = 1
Given Input numbers are 770, 525, 840, 787
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 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
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 770, 525, 840, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 525, 840, 787 is 1.
Therefore, GCD of numbers 770, 525, 840, 787 is 1
Given Input Data is 770, 525, 840, 787
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 525 is 3 x 5 x 5 x 7
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 787 is 787
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, 525) = 11550
GCD(770, 525) = ( 770 x 525 ) / 11550
GCD(770, 525) = 404250 / 11550
GCD(770, 525) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 840) = 840
GCD(35, 840) = ( 35 x 840 ) / 840
GCD(35, 840) = 29400 / 840
GCD(35, 840) = 35
Step3:
Here we consider the GCD from the above i.e. 35 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 787) = 27545
GCD(35, 787) = ( 35 x 787 ) / 27545
GCD(35, 787) = 27545 / 27545
GCD(35, 787) = 1
GCD of 770, 525, 840, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 525, 840, 787?
GCD of 770, 525, 840, 787 is 1
2. Where do I get the detailed procedure to find GCD of 770, 525, 840, 787?
You can find a detailed procedure to find GCD of 770, 525, 840, 787 on our page.
3. How to find GCD of 770, 525, 840, 787 on a calculator?
You can find the GCD of 770, 525, 840, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.