GCD of 140, 217, 349, 699 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 140, 217, 349, 699 quickly. Get the easiest ways to solve the greatest common divisor of 140, 217, 349, 699 i.e 1 in different methods as follows.
Given Input numbers are 140, 217, 349, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (140, 217, 349, 699) = 1.
Given numbers are 140, 217, 349, 699
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 217 are 7 x 31
Prime factors of 349 are 349
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 140, 217, 349, 699 using LCM Formula
Given numbers are 140, 217, 349, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 217) = 4340
GCD(140, 217) = ( 140 x 217 ) / 4340
= 140 / 217
= 140
Step2:
LCM(7, 349) = 2443
GCD(7, 349) = ( 7 x 349 ) / 2443
= 7 / 349
= 7
Step3:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
So, Greatest Common Divisor of 140, 217, 349, 699 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 140, 217, 349, 699
Given numbers are 140, 217, 349, 699
The greatest common divisor of numbers 140, 217, 349, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 217, 349, 699 is 1.
FAQs on GCD of 140, 217, 349, 699 Calculator
1. What is the GCD of 140, 217, 349, 699?
GCD of given numbers 140, 217, 349, 699 is 1
2. How to calculate the greatest common divisor of 140, 217, 349, 699?
We can find the highest common divisor of 140, 217, 349, 699 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 140, 217, 349, 699 i.e 1.
3. How can I use the GCD of 140, 217, 349, 699Calculator?
Out the numbers 140, 217, 349, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.