GCD of 354, 987, 414 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 354, 987, 414 quickly. Get the easiest ways to solve the greatest common divisor of 354, 987, 414 i.e 3 in different methods as follows.
Given Input numbers are 354, 987, 414
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (354, 987, 414) = 3.
Given numbers are 354, 987, 414
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 987 are 3 x 7 x 47
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 354, 987, 414 is 3.
Steps to Calculate GCD of 354, 987, 414 using LCM Formula
Given numbers are 354, 987, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 987) = 116466
GCD(354, 987) = ( 354 x 987 ) / 116466
= 354 / 987
= 354
Step2:
LCM(3, 414) = 414
GCD(3, 414) = ( 3 x 414 ) / 414
= 3 / 414
= 3
So, Greatest Common Divisor of 354, 987, 414 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 354, 987, 414
Given numbers are 354, 987, 414
The greatest common divisor of numbers 354, 987, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 987, 414 is 3.
FAQs on GCD of 354, 987, 414 Calculator
1. What is the GCD of 354, 987, 414?
GCD of given numbers 354, 987, 414 is 3
2. How to calculate the greatest common divisor of 354, 987, 414?
We can find the highest common divisor of 354, 987, 414 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 354, 987, 414 i.e 3.
3. How can I use the GCD of 354, 987, 414Calculator?
Out the numbers 354, 987, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.