Online GCD Calculator is useful to find the GCD of 148, 618, 780, 420 quickly. Get the easiest ways to solve the greatest common divisor of 148, 618, 780, 420 i.e 2 in different methods as follows.
Given Input numbers are 148, 618, 780, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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 (148, 618, 780, 420) = 2.
Given numbers are 148, 618, 780, 420
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 618 are 2 x 3 x 103
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 148, 618, 780, 420 is 2.
Given numbers are 148, 618, 780, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 618) = 45732
GCD(148, 618) = ( 148 x 618 ) / 45732
= 148 / 618
= 148
Step2:
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
= 2 / 780
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 148, 618, 780, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 618, 780, 420
The greatest common divisor of numbers 148, 618, 780, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 618, 780, 420 is 2.
1. What is the GCD of 148, 618, 780, 420?
GCD of given numbers 148, 618, 780, 420 is 2
2. How to calculate the greatest common divisor of 148, 618, 780, 420?
We can find the highest common divisor of 148, 618, 780, 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 148, 618, 780, 420 i.e 2.
3. How can I use the GCD of 148, 618, 780, 420Calculator?
Out the numbers 148, 618, 780, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.