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 88, 640, 142, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 640, 142, 801 is 1
GCD(88, 640, 142, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 640, 142, 801 is 1
GCD(88, 640, 142, 801) = 1
Given Input numbers are 88, 640, 142, 801
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 88, 640, 142, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 640, 142, 801 is 1.
Therefore, GCD of numbers 88, 640, 142, 801 is 1
Given Input Data is 88, 640, 142, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 142 is 2 x 71
Prime Factorization of 801 is 3 x 3 x 89
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(88, 640) = 7040
GCD(88, 640) = ( 88 x 640 ) / 7040
GCD(88, 640) = 56320 / 7040
GCD(88, 640) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 142) = 568
GCD(8, 142) = ( 8 x 142 ) / 568
GCD(8, 142) = 1136 / 568
GCD(8, 142) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 801) = 1602
GCD(2, 801) = ( 2 x 801 ) / 1602
GCD(2, 801) = 1602 / 1602
GCD(2, 801) = 1
GCD of 88, 640, 142, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 640, 142, 801?
GCD of 88, 640, 142, 801 is 1
2. Where do I get the detailed procedure to find GCD of 88, 640, 142, 801?
You can find a detailed procedure to find GCD of 88, 640, 142, 801 on our page.
3. How to find GCD of 88, 640, 142, 801 on a calculator?
You can find the GCD of 88, 640, 142, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.