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, 672, 726, 102 i.e. 2 largest integer that divides all the numbers equally.
GCD of 62, 672, 726, 102 is 2
GCD(62, 672, 726, 102) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 672, 726, 102 is 2
GCD(62, 672, 726, 102) = 2
Given Input numbers are 62, 672, 726, 102
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 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 62, 672, 726, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 672, 726, 102 is 2.
Therefore, GCD of numbers 62, 672, 726, 102 is 2
Given Input Data is 62, 672, 726, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 102 is 2 x 3 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 672) = 20832
GCD(62, 672) = ( 62 x 672 ) / 20832
GCD(62, 672) = 41664 / 20832
GCD(62, 672) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
GCD(2, 726) = 1452 / 726
GCD(2, 726) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 102) = 102
GCD(2, 102) = ( 2 x 102 ) / 102
GCD(2, 102) = 204 / 102
GCD(2, 102) = 2
GCD of 62, 672, 726, 102 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 672, 726, 102?
GCD of 62, 672, 726, 102 is 2
2. Where do I get the detailed procedure to find GCD of 62, 672, 726, 102?
You can find a detailed procedure to find GCD of 62, 672, 726, 102 on our page.
3. How to find GCD of 62, 672, 726, 102 on a calculator?
You can find the GCD of 62, 672, 726, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.