GCD of 428, 138, 33, 302 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 428, 138, 33, 302 quickly. Get the easiest ways to solve the greatest common divisor of 428, 138, 33, 302 i.e 1 in different methods as follows.
Given Input numbers are 428, 138, 33, 302
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (428, 138, 33, 302) = 1.
Given numbers are 428, 138, 33, 302
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 138 are 2 x 3 x 23
Prime factors of 33 are 3 x 11
Prime factors of 302 are 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 428, 138, 33, 302 using LCM Formula
Given numbers are 428, 138, 33, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 138) = 29532
GCD(428, 138) = ( 428 x 138 ) / 29532
= 428 / 138
= 428
Step2:
LCM(2, 33) = 66
GCD(2, 33) = ( 2 x 33 ) / 66
= 2 / 33
= 2
Step3:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
So, Greatest Common Divisor of 428, 138, 33, 302 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 428, 138, 33, 302
Given numbers are 428, 138, 33, 302
The greatest common divisor of numbers 428, 138, 33, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 138, 33, 302 is 1.
FAQs on GCD of 428, 138, 33, 302 Calculator
1. What is the GCD of 428, 138, 33, 302?
GCD of given numbers 428, 138, 33, 302 is 1
2. How to calculate the greatest common divisor of 428, 138, 33, 302?
We can find the highest common divisor of 428, 138, 33, 302 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 428, 138, 33, 302 i.e 1.
3. How can I use the GCD of 428, 138, 33, 302Calculator?
Out the numbers 428, 138, 33, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.