Online GCD Calculator is useful to find the GCD of 736, 750, 860, 420 quickly. Get the easiest ways to solve the greatest common divisor of 736, 750, 860, 420 i.e 2 in different methods as follows.
Given Input numbers are 736, 750, 860, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
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
GCD of numbers is the greatest common divisor
So, the GCD (736, 750, 860, 420) = 2.
Given numbers are 736, 750, 860, 420
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 736, 750, 860, 420 is 2.
Given numbers are 736, 750, 860, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 750) = 276000
GCD(736, 750) = ( 736 x 750 ) / 276000
= 736 / 750
= 736
Step2:
LCM(2, 860) = 860
GCD(2, 860) = ( 2 x 860 ) / 860
= 2 / 860
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 736, 750, 860, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 750, 860, 420
The greatest common divisor of numbers 736, 750, 860, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 750, 860, 420 is 2.
1. What is the GCD of 736, 750, 860, 420?
GCD of given numbers 736, 750, 860, 420 is 2
2. How to calculate the greatest common divisor of 736, 750, 860, 420?
We can find the highest common divisor of 736, 750, 860, 420 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 736, 750, 860, 420 i.e 2.
3. How can I use the GCD of 736, 750, 860, 420Calculator?
Out the numbers 736, 750, 860, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.