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 760, 177, 708, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 177, 708, 297 is 1
GCD(760, 177, 708, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 177, 708, 297 is 1
GCD(760, 177, 708, 297) = 1
Given Input numbers are 760, 177, 708, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 760, 177, 708, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 177, 708, 297 is 1.
Therefore, GCD of numbers 760, 177, 708, 297 is 1
Given Input Data is 760, 177, 708, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 177 is 3 x 59
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(760, 177) = 134520
GCD(760, 177) = ( 760 x 177 ) / 134520
GCD(760, 177) = 134520 / 134520
GCD(760, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 760, 177, 708, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 177, 708, 297?
GCD of 760, 177, 708, 297 is 1
2. Where do I get the detailed procedure to find GCD of 760, 177, 708, 297?
You can find a detailed procedure to find GCD of 760, 177, 708, 297 on our page.
3. How to find GCD of 760, 177, 708, 297 on a calculator?
You can find the GCD of 760, 177, 708, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.