GCD of 100, 750, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 100, 750, 960 quickly. Get the easiest ways to solve the greatest common divisor of 100, 750, 960 i.e 10 in different methods as follows.
Given Input numbers are 100, 750, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (100, 750, 960) = 10.
Given numbers are 100, 750, 960
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 100, 750, 960 is 10.
Steps to Calculate GCD of 100, 750, 960 using LCM Formula
Given numbers are 100, 750, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 750) = 1500
GCD(100, 750) = ( 100 x 750 ) / 1500
= 100 / 750
= 100
Step2:
LCM(50, 960) = 4800
GCD(50, 960) = ( 50 x 960 ) / 4800
= 50 / 960
= 50
So, Greatest Common Divisor of 100, 750, 960 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 100, 750, 960
Given numbers are 100, 750, 960
The greatest common divisor of numbers 100, 750, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 750, 960 is 10.
FAQs on GCD of 100, 750, 960 Calculator
1. What is the GCD of 100, 750, 960?
GCD of given numbers 100, 750, 960 is 10
2. How to calculate the greatest common divisor of 100, 750, 960?
We can find the highest common divisor of 100, 750, 960 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 100, 750, 960 i.e 10.
3. How can I use the GCD of 100, 750, 960Calculator?
Out the numbers 100, 750, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.