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 158, 880, 664, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 158, 880, 664, 735 is 1
GCD(158, 880, 664, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 158, 880, 664, 735 is 1
GCD(158, 880, 664, 735) = 1
Given Input numbers are 158, 880, 664, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 158, 880, 664, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 880, 664, 735 is 1.
Therefore, GCD of numbers 158, 880, 664, 735 is 1
Given Input Data is 158, 880, 664, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 158 is 2 x 79
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 735 is 3 x 5 x 7 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(158, 880) = 69520
GCD(158, 880) = ( 158 x 880 ) / 69520
GCD(158, 880) = 139040 / 69520
GCD(158, 880) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 664) = 664
GCD(2, 664) = ( 2 x 664 ) / 664
GCD(2, 664) = 1328 / 664
GCD(2, 664) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
GCD of 158, 880, 664, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 158, 880, 664, 735?
GCD of 158, 880, 664, 735 is 1
2. Where do I get the detailed procedure to find GCD of 158, 880, 664, 735?
You can find a detailed procedure to find GCD of 158, 880, 664, 735 on our page.
3. How to find GCD of 158, 880, 664, 735 on a calculator?
You can find the GCD of 158, 880, 664, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.