Online GCD Calculator is useful to find the GCD of 676, 508, 210, 760 quickly. Get the easiest ways to solve the greatest common divisor of 676, 508, 210, 760 i.e 2 in different methods as follows.
Given Input numbers are 676, 508, 210, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (676, 508, 210, 760) = 2.
Given numbers are 676, 508, 210, 760
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 508 are 2 x 2 x 127
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 676, 508, 210, 760 is 2.
Given numbers are 676, 508, 210, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 508) = 85852
GCD(676, 508) = ( 676 x 508 ) / 85852
= 676 / 508
= 676
Step2:
LCM(4, 210) = 420
GCD(4, 210) = ( 4 x 210 ) / 420
= 4 / 210
= 4
Step3:
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
= 2 / 760
= 2
So, Greatest Common Divisor of 676, 508, 210, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 508, 210, 760
The greatest common divisor of numbers 676, 508, 210, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 508, 210, 760 is 2.
1. What is the GCD of 676, 508, 210, 760?
GCD of given numbers 676, 508, 210, 760 is 2
2. How to calculate the greatest common divisor of 676, 508, 210, 760?
We can find the highest common divisor of 676, 508, 210, 760 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 676, 508, 210, 760 i.e 2.
3. How can I use the GCD of 676, 508, 210, 760Calculator?
Out the numbers 676, 508, 210, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.