GCD of 142, 784, 338 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 142, 784, 338 quickly. Get the easiest ways to solve the greatest common divisor of 142, 784, 338 i.e 2 in different methods as follows.
Given Input numbers are 142, 784, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (142, 784, 338) = 2.
Given numbers are 142, 784, 338
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 142, 784, 338 is 2.
Steps to Calculate GCD of 142, 784, 338 using LCM Formula
Given numbers are 142, 784, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 784) = 55664
GCD(142, 784) = ( 142 x 784 ) / 55664
= 142 / 784
= 142
Step2:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 142, 784, 338 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 142, 784, 338
Given numbers are 142, 784, 338
The greatest common divisor of numbers 142, 784, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 784, 338 is 2.
FAQs on GCD of 142, 784, 338 Calculator
1. What is the GCD of 142, 784, 338?
GCD of given numbers 142, 784, 338 is 2
2. How to calculate the greatest common divisor of 142, 784, 338?
We can find the highest common divisor of 142, 784, 338 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 142, 784, 338 i.e 2.
3. How can I use the GCD of 142, 784, 338Calculator?
Out the numbers 142, 784, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.