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 351, 147, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 351, 147, 691 is 1
GCD(351, 147, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 147, 691 is 1
GCD(351, 147, 691) = 1
Given Input numbers are 351, 147, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 351, 147, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 147, 691 is 1.
Therefore, GCD of numbers 351, 147, 691 is 1
Given Input Data is 351, 147, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 691 is 691
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(351, 147) = 17199
GCD(351, 147) = ( 351 x 147 ) / 17199
GCD(351, 147) = 51597 / 17199
GCD(351, 147) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 691) = 2073
GCD(3, 691) = ( 3 x 691 ) / 2073
GCD(3, 691) = 2073 / 2073
GCD(3, 691) = 1
GCD of 351, 147, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 147, 691?
GCD of 351, 147, 691 is 1
2. Where do I get the detailed procedure to find GCD of 351, 147, 691?
You can find a detailed procedure to find GCD of 351, 147, 691 on our page.
3. How to find GCD of 351, 147, 691 on a calculator?
You can find the GCD of 351, 147, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.