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 62, 346, 148, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 346, 148, 705 is 1
GCD(62, 346, 148, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 346, 148, 705 is 1
GCD(62, 346, 148, 705) = 1
Given Input numbers are 62, 346, 148, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 62, 346, 148, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 346, 148, 705 is 1.
Therefore, GCD of numbers 62, 346, 148, 705 is 1
Given Input Data is 62, 346, 148, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 346 is 2 x 173
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 705 is 3 x 5 x 47
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(62, 346) = 10726
GCD(62, 346) = ( 62 x 346 ) / 10726
GCD(62, 346) = 21452 / 10726
GCD(62, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
GCD(2, 148) = 296 / 148
GCD(2, 148) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
GCD(2, 705) = 1410 / 1410
GCD(2, 705) = 1
GCD of 62, 346, 148, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 346, 148, 705?
GCD of 62, 346, 148, 705 is 1
2. Where do I get the detailed procedure to find GCD of 62, 346, 148, 705?
You can find a detailed procedure to find GCD of 62, 346, 148, 705 on our page.
3. How to find GCD of 62, 346, 148, 705 on a calculator?
You can find the GCD of 62, 346, 148, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.