Online GCD Calculator is useful to find the GCD of 420, 220, 750 quickly. Get the easiest ways to solve the greatest common divisor of 420, 220, 750 i.e 10 in different methods as follows.
Given Input numbers are 420, 220, 750
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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
GCD of numbers is the greatest common divisor
So, the GCD (420, 220, 750) = 10.
Given numbers are 420, 220, 750
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 420, 220, 750 is 10.
Given numbers are 420, 220, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 220) = 4620
GCD(420, 220) = ( 420 x 220 ) / 4620
= 420 / 220
= 420
Step2:
LCM(20, 750) = 1500
GCD(20, 750) = ( 20 x 750 ) / 1500
= 20 / 750
= 20
So, Greatest Common Divisor of 420, 220, 750 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 220, 750
The greatest common divisor of numbers 420, 220, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 220, 750 is 10.
1. What is the GCD of 420, 220, 750?
GCD of given numbers 420, 220, 750 is 10
2. How to calculate the greatest common divisor of 420, 220, 750?
We can find the highest common divisor of 420, 220, 750 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 420, 220, 750 i.e 10.
3. How can I use the GCD of 420, 220, 750Calculator?
Out the numbers 420, 220, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.