GCD of 735, 840, 106 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 735, 840, 106 quickly. Get the easiest ways to solve the greatest common divisor of 735, 840, 106 i.e 1 in different methods as follows.
Given Input numbers are 735, 840, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (735, 840, 106) = 1.
Given numbers are 735, 840, 106
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 735, 840, 106 using LCM Formula
Given numbers are 735, 840, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 840) = 5880
GCD(735, 840) = ( 735 x 840 ) / 5880
= 735 / 840
= 735
Step2:
LCM(105, 106) = 11130
GCD(105, 106) = ( 105 x 106 ) / 11130
= 105 / 106
= 105
So, Greatest Common Divisor of 735, 840, 106 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 735, 840, 106
Given numbers are 735, 840, 106
The greatest common divisor of numbers 735, 840, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 840, 106 is 1.
FAQs on GCD of 735, 840, 106 Calculator
1. What is the GCD of 735, 840, 106?
GCD of given numbers 735, 840, 106 is 1
2. How to calculate the greatest common divisor of 735, 840, 106?
We can find the highest common divisor of 735, 840, 106 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 735, 840, 106 i.e 1.
3. How can I use the GCD of 735, 840, 106Calculator?
Out the numbers 735, 840, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.