Online GCD Calculator is useful to find the GCD of 496, 612, 600, 676 quickly. Get the easiest ways to solve the greatest common divisor of 496, 612, 600, 676 i.e 4 in different methods as follows.
Given Input numbers are 496, 612, 600, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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 (496, 612, 600, 676) = 4.
Given numbers are 496, 612, 600, 676
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 22
Therefore, GCD of 496, 612, 600, 676 is 4.
Given numbers are 496, 612, 600, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 612) = 75888
GCD(496, 612) = ( 496 x 612 ) / 75888
= 496 / 612
= 496
Step2:
LCM(4, 600) = 600
GCD(4, 600) = ( 4 x 600 ) / 600
= 4 / 600
= 4
Step3:
LCM(4, 676) = 676
GCD(4, 676) = ( 4 x 676 ) / 676
= 4 / 676
= 4
So, Greatest Common Divisor of 496, 612, 600, 676 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 612, 600, 676
The greatest common divisor of numbers 496, 612, 600, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 612, 600, 676 is 4.
1. What is the GCD of 496, 612, 600, 676?
GCD of given numbers 496, 612, 600, 676 is 4
2. How to calculate the greatest common divisor of 496, 612, 600, 676?
We can find the highest common divisor of 496, 612, 600, 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 496, 612, 600, 676 i.e 4.
3. How can I use the GCD of 496, 612, 600, 676Calculator?
Out the numbers 496, 612, 600, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.