Online GCD Calculator is useful to find the GCD of 750, 350, 546, 640 quickly. Get the easiest ways to solve the greatest common divisor of 750, 350, 546, 640 i.e 2 in different methods as follows.
Given Input numbers are 750, 350, 546, 640
In the factoring method, we have to find the divisors of all numbers
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (750, 350, 546, 640) = 2.
Given numbers are 750, 350, 546, 640
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 750, 350, 546, 640 is 2.
Given numbers are 750, 350, 546, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 350) = 5250
GCD(750, 350) = ( 750 x 350 ) / 5250
= 750 / 350
= 750
Step2:
LCM(50, 546) = 13650
GCD(50, 546) = ( 50 x 546 ) / 13650
= 50 / 546
= 50
Step3:
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
= 2 / 640
= 2
So, Greatest Common Divisor of 750, 350, 546, 640 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 350, 546, 640
The greatest common divisor of numbers 750, 350, 546, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 350, 546, 640 is 2.
1. What is the GCD of 750, 350, 546, 640?
GCD of given numbers 750, 350, 546, 640 is 2
2. How to calculate the greatest common divisor of 750, 350, 546, 640?
We can find the highest common divisor of 750, 350, 546, 640 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 750, 350, 546, 640 i.e 2.
3. How can I use the GCD of 750, 350, 546, 640Calculator?
Out the numbers 750, 350, 546, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.