GCD of 837, 117, 354 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 837, 117, 354 quickly. Get the easiest ways to solve the greatest common divisor of 837, 117, 354 i.e 3 in different methods as follows.
Given Input numbers are 837, 117, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
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 (837, 117, 354) = 3.
Given numbers are 837, 117, 354
The list of prime factors of all numbers are
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 117 are 3 x 3 x 13
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 837, 117, 354 is 3.
Steps to Calculate GCD of 837, 117, 354 using LCM Formula
Given numbers are 837, 117, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(837, 117) = 10881
GCD(837, 117) = ( 837 x 117 ) / 10881
= 837 / 117
= 837
Step2:
LCM(9, 354) = 1062
GCD(9, 354) = ( 9 x 354 ) / 1062
= 9 / 354
= 9
So, Greatest Common Divisor of 837, 117, 354 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 837, 117, 354
Given numbers are 837, 117, 354
The greatest common divisor of numbers 837, 117, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 117, 354 is 3.
FAQs on GCD of 837, 117, 354 Calculator
1. What is the GCD of 837, 117, 354?
GCD of given numbers 837, 117, 354 is 3
2. How to calculate the greatest common divisor of 837, 117, 354?
We can find the highest common divisor of 837, 117, 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 837, 117, 354 i.e 3.
3. How can I use the GCD of 837, 117, 354Calculator?
Out the numbers 837, 117, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.