GCD of 148, 400, 992 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 148, 400, 992 quickly. Get the easiest ways to solve the greatest common divisor of 148, 400, 992 i.e 4 in different methods as follows.
Given Input numbers are 148, 400, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (148, 400, 992) = 4.
Given numbers are 148, 400, 992
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 148, 400, 992 is 4.
Steps to Calculate GCD of 148, 400, 992 using LCM Formula
Given numbers are 148, 400, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 400) = 14800
GCD(148, 400) = ( 148 x 400 ) / 14800
= 148 / 400
= 148
Step2:
LCM(4, 992) = 992
GCD(4, 992) = ( 4 x 992 ) / 992
= 4 / 992
= 4
So, Greatest Common Divisor of 148, 400, 992 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 148, 400, 992
Given numbers are 148, 400, 992
The greatest common divisor of numbers 148, 400, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 400, 992 is 4.
FAQs on GCD of 148, 400, 992 Calculator
1. What is the GCD of 148, 400, 992?
GCD of given numbers 148, 400, 992 is 4
2. How to calculate the greatest common divisor of 148, 400, 992?
We can find the highest common divisor of 148, 400, 992 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 148, 400, 992 i.e 4.
3. How can I use the GCD of 148, 400, 992Calculator?
Out the numbers 148, 400, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.