GCD of 798, 142, 71, 649 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 798, 142, 71, 649 quickly. Get the easiest ways to solve the greatest common divisor of 798, 142, 71, 649 i.e 1 in different methods as follows.
Given Input numbers are 798, 142, 71, 649
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
GCD of numbers is the greatest common divisor
So, the GCD (798, 142, 71, 649) = 1.
Given numbers are 798, 142, 71, 649
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 142 are 2 x 71
Prime factors of 71 are 71
Prime factors of 649 are 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 798, 142, 71, 649 using LCM Formula
Given numbers are 798, 142, 71, 649
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 142) = 56658
GCD(798, 142) = ( 798 x 142 ) / 56658
= 798 / 142
= 798
Step2:
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
= 2 / 71
= 2
Step3:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
So, Greatest Common Divisor of 798, 142, 71, 649 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 798, 142, 71, 649
Given numbers are 798, 142, 71, 649
The greatest common divisor of numbers 798, 142, 71, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 142, 71, 649 is 1.
FAQs on GCD of 798, 142, 71, 649 Calculator
1. What is the GCD of 798, 142, 71, 649?
GCD of given numbers 798, 142, 71, 649 is 1
2. How to calculate the greatest common divisor of 798, 142, 71, 649?
We can find the highest common divisor of 798, 142, 71, 649 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 798, 142, 71, 649 i.e 1.
3. How can I use the GCD of 798, 142, 71, 649Calculator?
Out the numbers 798, 142, 71, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.