Online GCD Calculator is useful to find the GCD of 736, 678, 148, 820 quickly. Get the easiest ways to solve the greatest common divisor of 736, 678, 148, 820 i.e 2 in different methods as follows.
Given Input numbers are 736, 678, 148, 820
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 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (736, 678, 148, 820) = 2.
Given numbers are 736, 678, 148, 820
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 678 are 2 x 3 x 113
Prime factors of 148 are 2 x 2 x 37
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 736, 678, 148, 820 is 2.
Given numbers are 736, 678, 148, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 678) = 249504
GCD(736, 678) = ( 736 x 678 ) / 249504
= 736 / 678
= 736
Step2:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 736, 678, 148, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 678, 148, 820
The greatest common divisor of numbers 736, 678, 148, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 678, 148, 820 is 2.
1. What is the GCD of 736, 678, 148, 820?
GCD of given numbers 736, 678, 148, 820 is 2
2. How to calculate the greatest common divisor of 736, 678, 148, 820?
We can find the highest common divisor of 736, 678, 148, 820 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, 678, 148, 820 i.e 2.
3. How can I use the GCD of 736, 678, 148, 820Calculator?
Out the numbers 736, 678, 148, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.