GCD of 966, 748, 400 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 966, 748, 400 quickly. Get the easiest ways to solve the greatest common divisor of 966, 748, 400 i.e 2 in different methods as follows.
Given Input numbers are 966, 748, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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
GCD of numbers is the greatest common divisor
So, the GCD (966, 748, 400) = 2.
Given numbers are 966, 748, 400
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 966, 748, 400 is 2.
Steps to Calculate GCD of 966, 748, 400 using LCM Formula
Given numbers are 966, 748, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 748) = 361284
GCD(966, 748) = ( 966 x 748 ) / 361284
= 966 / 748
= 966
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 966, 748, 400 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 966, 748, 400
Given numbers are 966, 748, 400
The greatest common divisor of numbers 966, 748, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 748, 400 is 2.
FAQs on GCD of 966, 748, 400 Calculator
1. What is the GCD of 966, 748, 400?
GCD of given numbers 966, 748, 400 is 2
2. How to calculate the greatest common divisor of 966, 748, 400?
We can find the highest common divisor of 966, 748, 400 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 966, 748, 400 i.e 2.
3. How can I use the GCD of 966, 748, 400Calculator?
Out the numbers 966, 748, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.