GCD of 36, 10, 62, 42 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 36, 10, 62, 42 quickly. Get the easiest ways to solve the greatest common divisor of 36, 10, 62, 42 i.e 2 in different methods as follows.
Given Input numbers are 36, 10, 62, 42
In the factoring method, we have to find the divisors of all numbers
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 10 :
The positive integer divisors of 10 that completely divides 10 are.
1, 2, 5, 10
Divisors of 62 :
The positive integer divisors of 62 that completely divides 62 are.
1, 2, 31, 62
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
GCD of numbers is the greatest common divisor
So, the GCD (36, 10, 62, 42) = 2.
Given numbers are 36, 10, 62, 42
The list of prime factors of all numbers are
Prime factors of 36 are 2 x 2 x 3 x 3
Prime factors of 10 are 2 x 5
Prime factors of 62 are 2 x 31
Prime factors of 42 are 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 36, 10, 62, 42 is 2.
Steps to Calculate GCD of 36, 10, 62, 42 using LCM Formula
Given numbers are 36, 10, 62, 42
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(36, 10) = 180
GCD(36, 10) = ( 36 x 10 ) / 180
= 36 / 10
= 36
Step2:
LCM(2, 62) = 62
GCD(2, 62) = ( 2 x 62 ) / 62
= 2 / 62
= 2
Step3:
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
= 2 / 42
= 2
So, Greatest Common Divisor of 36, 10, 62, 42 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 36, 10, 62, 42
Given numbers are 36, 10, 62, 42
The greatest common divisor of numbers 36, 10, 62, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 36, 10, 62, 42 is 2.
FAQs on GCD of 36, 10, 62, 42 Calculator
1. What is the GCD of 36, 10, 62, 42?
GCD of given numbers 36, 10, 62, 42 is 2
2. How to calculate the greatest common divisor of 36, 10, 62, 42?
We can find the highest common divisor of 36, 10, 62, 42 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 36, 10, 62, 42 i.e 2.
3. How can I use the GCD of 36, 10, 62, 42Calculator?
Out the numbers 36, 10, 62, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.