GCD of 746, 416, 920 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 746, 416, 920 quickly. Get the easiest ways to solve the greatest common divisor of 746, 416, 920 i.e 2 in different methods as follows.
Given Input numbers are 746, 416, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
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
GCD of numbers is the greatest common divisor
So, the GCD (746, 416, 920) = 2.
Given numbers are 746, 416, 920
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 746, 416, 920 is 2.
Steps to Calculate GCD of 746, 416, 920 using LCM Formula
Given numbers are 746, 416, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 416) = 155168
GCD(746, 416) = ( 746 x 416 ) / 155168
= 746 / 416
= 746
Step2:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 746, 416, 920 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 746, 416, 920
Given numbers are 746, 416, 920
The greatest common divisor of numbers 746, 416, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 416, 920 is 2.
FAQs on GCD of 746, 416, 920 Calculator
1. What is the GCD of 746, 416, 920?
GCD of given numbers 746, 416, 920 is 2
2. How to calculate the greatest common divisor of 746, 416, 920?
We can find the highest common divisor of 746, 416, 920 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 746, 416, 920 i.e 2.
3. How can I use the GCD of 746, 416, 920Calculator?
Out the numbers 746, 416, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.