GCD of 464, 840, 750 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 464, 840, 750 i.e. 2 largest integer that divides all the numbers equally.
GCD of 464, 840, 750 is 2
GCD(464, 840, 750) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 840, 750 is 2
GCD(464, 840, 750) = 2
GCDof 464,840,750 is 2
Given Input numbers are 464, 840, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
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 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 464, 840, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 840, 750 is 2.
Therefore, GCD of numbers 464, 840, 750 is 2
Given Input Data is 464, 840, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 464, 840, 750 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(464, 840) = 48720
GCD(464, 840) = ( 464 x 840 ) / 48720
GCD(464, 840) = 389760 / 48720
GCD(464, 840) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 750) = 3000
GCD(8, 750) = ( 8 x 750 ) / 3000
GCD(8, 750) = 6000 / 3000
GCD(8, 750) = 2
GCD of 464, 840, 750 is 2
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FAQs on GCD of numbers 464, 840, 750
1. What is the GCD of 464, 840, 750?
GCD of 464, 840, 750 is 2
2. Where do I get the detailed procedure to find GCD of 464, 840, 750?
You can find a detailed procedure to find GCD of 464, 840, 750 on our page.
3. How to find GCD of 464, 840, 750 on a calculator?
You can find the GCD of 464, 840, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.