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 960, 137, 340, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 137, 340, 380 is 1
GCD(960, 137, 340, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 137, 340, 380 is 1
GCD(960, 137, 340, 380) = 1
Given Input numbers are 960, 137, 340, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 960, 137, 340, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 137, 340, 380 is 1.
Therefore, GCD of numbers 960, 137, 340, 380 is 1
Given Input Data is 960, 137, 340, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 137 is 137
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(960, 137) = 131520
GCD(960, 137) = ( 960 x 137 ) / 131520
GCD(960, 137) = 131520 / 131520
GCD(960, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 960, 137, 340, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 137, 340, 380?
GCD of 960, 137, 340, 380 is 1
2. Where do I get the detailed procedure to find GCD of 960, 137, 340, 380?
You can find a detailed procedure to find GCD of 960, 137, 340, 380 on our page.
3. How to find GCD of 960, 137, 340, 380 on a calculator?
You can find the GCD of 960, 137, 340, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.