GCD of 732, 975, 354 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 732, 975, 354 quickly. Get the easiest ways to solve the greatest common divisor of 732, 975, 354 i.e 3 in different methods as follows.
Given Input numbers are 732, 975, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (732, 975, 354) = 3.
Given numbers are 732, 975, 354
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 732, 975, 354 is 3.
Steps to Calculate GCD of 732, 975, 354 using LCM Formula
Given numbers are 732, 975, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 975) = 237900
GCD(732, 975) = ( 732 x 975 ) / 237900
= 732 / 975
= 732
Step2:
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
= 3 / 354
= 3
So, Greatest Common Divisor of 732, 975, 354 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 732, 975, 354
Given numbers are 732, 975, 354
The greatest common divisor of numbers 732, 975, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 975, 354 is 3.
FAQs on GCD of 732, 975, 354 Calculator
1. What is the GCD of 732, 975, 354?
GCD of given numbers 732, 975, 354 is 3
2. How to calculate the greatest common divisor of 732, 975, 354?
We can find the highest common divisor of 732, 975, 354 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 732, 975, 354 i.e 3.
3. How can I use the GCD of 732, 975, 354Calculator?
Out the numbers 732, 975, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.