GCD of 890, 920, 464 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 890, 920, 464 quickly. Get the easiest ways to solve the greatest common divisor of 890, 920, 464 i.e 2 in different methods as follows.
Given Input numbers are 890, 920, 464
In the factoring method, we have to find the divisors of all numbers
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (890, 920, 464) = 2.
Given numbers are 890, 920, 464
The list of prime factors of all numbers are
Prime factors of 890 are 2 x 5 x 89
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 890, 920, 464 is 2.
Steps to Calculate GCD of 890, 920, 464 using LCM Formula
Given numbers are 890, 920, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(890, 920) = 81880
GCD(890, 920) = ( 890 x 920 ) / 81880
= 890 / 920
= 890
Step2:
LCM(10, 464) = 2320
GCD(10, 464) = ( 10 x 464 ) / 2320
= 10 / 464
= 10
So, Greatest Common Divisor of 890, 920, 464 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 890, 920, 464
Given numbers are 890, 920, 464
The greatest common divisor of numbers 890, 920, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 920, 464 is 2.
FAQs on GCD of 890, 920, 464 Calculator
1. What is the GCD of 890, 920, 464?
GCD of given numbers 890, 920, 464 is 2
2. How to calculate the greatest common divisor of 890, 920, 464?
We can find the highest common divisor of 890, 920, 464 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 890, 920, 464 i.e 2.
3. How can I use the GCD of 890, 920, 464Calculator?
Out the numbers 890, 920, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.