Online GCD Calculator is useful to find the GCD of 820, 488, 700, 268 quickly. Get the easiest ways to solve the greatest common divisor of 820, 488, 700, 268 i.e 4 in different methods as follows.
Given Input numbers are 820, 488, 700, 268
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (820, 488, 700, 268) = 4.
Given numbers are 820, 488, 700, 268
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 22
Therefore, GCD of 820, 488, 700, 268 is 4.
Given numbers are 820, 488, 700, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 488) = 100040
GCD(820, 488) = ( 820 x 488 ) / 100040
= 820 / 488
= 820
Step2:
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
= 4 / 700
= 4
Step3:
LCM(4, 268) = 268
GCD(4, 268) = ( 4 x 268 ) / 268
= 4 / 268
= 4
So, Greatest Common Divisor of 820, 488, 700, 268 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 488, 700, 268
The greatest common divisor of numbers 820, 488, 700, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 488, 700, 268 is 4.
1. What is the GCD of 820, 488, 700, 268?
GCD of given numbers 820, 488, 700, 268 is 4
2. How to calculate the greatest common divisor of 820, 488, 700, 268?
We can find the highest common divisor of 820, 488, 700, 268 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 820, 488, 700, 268 i.e 4.
3. How can I use the GCD of 820, 488, 700, 268Calculator?
Out the numbers 820, 488, 700, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.