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 270, 336, 62, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 336, 62, 707 is 1
GCD(270, 336, 62, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 336, 62, 707 is 1
GCD(270, 336, 62, 707) = 1
Given Input numbers are 270, 336, 62, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 270, 336, 62, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 336, 62, 707 is 1.
Therefore, GCD of numbers 270, 336, 62, 707 is 1
Given Input Data is 270, 336, 62, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 62 is 2 x 31
Prime Factorization of 707 is 7 x 101
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(270, 336) = 15120
GCD(270, 336) = ( 270 x 336 ) / 15120
GCD(270, 336) = 90720 / 15120
GCD(270, 336) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 62) = 186
GCD(6, 62) = ( 6 x 62 ) / 186
GCD(6, 62) = 372 / 186
GCD(6, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
GCD of 270, 336, 62, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 336, 62, 707?
GCD of 270, 336, 62, 707 is 1
2. Where do I get the detailed procedure to find GCD of 270, 336, 62, 707?
You can find a detailed procedure to find GCD of 270, 336, 62, 707 on our page.
3. How to find GCD of 270, 336, 62, 707 on a calculator?
You can find the GCD of 270, 336, 62, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.