GCD of 105, 735, 137 Calculator
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 105, 735, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 735, 137 is 1
GCD(105, 735, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 735, 137 is 1
GCD(105, 735, 137) = 1
GCDof 105,735,137 is 1
Given Input numbers are 105, 735, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
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
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 105, 735, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 735, 137 is 1.
Therefore, GCD of numbers 105, 735, 137 is 1
Given Input Data is 105, 735, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 137 is 137
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 105, 735, 137 using LCM Formula
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(105, 735) = 735
GCD(105, 735) = ( 105 x 735 ) / 735
GCD(105, 735) = 77175 / 735
GCD(105, 735) = 105
Step2:
Here we consider the GCD from the above i.e. 105 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(105, 137) = 14385
GCD(105, 137) = ( 105 x 137 ) / 14385
GCD(105, 137) = 14385 / 14385
GCD(105, 137) = 1
GCD of 105, 735, 137 is 1
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FAQs on GCD of numbers 105, 735, 137
1. What is the GCD of 105, 735, 137?
GCD of 105, 735, 137 is 1
2. Where do I get the detailed procedure to find GCD of 105, 735, 137?
You can find a detailed procedure to find GCD of 105, 735, 137 on our page.
3. How to find GCD of 105, 735, 137 on a calculator?
You can find the GCD of 105, 735, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.