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 147, 686, 62, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 686, 62, 429 is 1
GCD(147, 686, 62, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 686, 62, 429 is 1
GCD(147, 686, 62, 429) = 1
Given Input numbers are 147, 686, 62, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 147, 686, 62, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 686, 62, 429 is 1.
Therefore, GCD of numbers 147, 686, 62, 429 is 1
Given Input Data is 147, 686, 62, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 62 is 2 x 31
Prime Factorization of 429 is 3 x 11 x 13
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(147, 686) = 2058
GCD(147, 686) = ( 147 x 686 ) / 2058
GCD(147, 686) = 100842 / 2058
GCD(147, 686) = 49
Step2:
Here we consider the GCD from the above i.e. 49 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(49, 62) = 3038
GCD(49, 62) = ( 49 x 62 ) / 3038
GCD(49, 62) = 3038 / 3038
GCD(49, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
GCD of 147, 686, 62, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 686, 62, 429?
GCD of 147, 686, 62, 429 is 1
2. Where do I get the detailed procedure to find GCD of 147, 686, 62, 429?
You can find a detailed procedure to find GCD of 147, 686, 62, 429 on our page.
3. How to find GCD of 147, 686, 62, 429 on a calculator?
You can find the GCD of 147, 686, 62, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.