GCD of 202, 972, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 202, 972, 48 quickly. Get the easiest ways to solve the greatest common divisor of 202, 972, 48 i.e 2 in different methods as follows.
Given Input numbers are 202, 972, 48
In the factoring method, we have to find the divisors of all numbers
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (202, 972, 48) = 2.
Given numbers are 202, 972, 48
The list of prime factors of all numbers are
Prime factors of 202 are 2 x 101
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 202, 972, 48 is 2.
Steps to Calculate GCD of 202, 972, 48 using LCM Formula
Given numbers are 202, 972, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(202, 972) = 98172
GCD(202, 972) = ( 202 x 972 ) / 98172
= 202 / 972
= 202
Step2:
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
= 2 / 48
= 2
So, Greatest Common Divisor of 202, 972, 48 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 202, 972, 48
Given numbers are 202, 972, 48
The greatest common divisor of numbers 202, 972, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 972, 48 is 2.
FAQs on GCD of 202, 972, 48 Calculator
1. What is the GCD of 202, 972, 48?
GCD of given numbers 202, 972, 48 is 2
2. How to calculate the greatest common divisor of 202, 972, 48?
We can find the highest common divisor of 202, 972, 48 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 202, 972, 48 i.e 2.
3. How can I use the GCD of 202, 972, 48Calculator?
Out the numbers 202, 972, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.