Online GCD Calculator is useful to find the GCD of 508, 840, 444, 676 quickly. Get the easiest ways to solve the greatest common divisor of 508, 840, 444, 676 i.e 4 in different methods as follows.
Given Input numbers are 508, 840, 444, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (508, 840, 444, 676) = 4.
Given numbers are 508, 840, 444, 676
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 22
Therefore, GCD of 508, 840, 444, 676 is 4.
Given numbers are 508, 840, 444, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 840) = 106680
GCD(508, 840) = ( 508 x 840 ) / 106680
= 508 / 840
= 508
Step2:
LCM(4, 444) = 444
GCD(4, 444) = ( 4 x 444 ) / 444
= 4 / 444
= 4
Step3:
LCM(4, 676) = 676
GCD(4, 676) = ( 4 x 676 ) / 676
= 4 / 676
= 4
So, Greatest Common Divisor of 508, 840, 444, 676 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 840, 444, 676
The greatest common divisor of numbers 508, 840, 444, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 840, 444, 676 is 4.
1. What is the GCD of 508, 840, 444, 676?
GCD of given numbers 508, 840, 444, 676 is 4
2. How to calculate the greatest common divisor of 508, 840, 444, 676?
We can find the highest common divisor of 508, 840, 444, 676 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 508, 840, 444, 676 i.e 4.
3. How can I use the GCD of 508, 840, 444, 676Calculator?
Out the numbers 508, 840, 444, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.