Online GCD Calculator is useful to find the GCD of 676, 974, 894, 508 quickly. Get the easiest ways to solve the greatest common divisor of 676, 974, 894, 508 i.e 2 in different methods as follows.
Given Input numbers are 676, 974, 894, 508
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 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (676, 974, 894, 508) = 2.
Given numbers are 676, 974, 894, 508
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 974 are 2 x 487
Prime factors of 894 are 2 x 3 x 149
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 21
Therefore, GCD of 676, 974, 894, 508 is 2.
Given numbers are 676, 974, 894, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 974) = 329212
GCD(676, 974) = ( 676 x 974 ) / 329212
= 676 / 974
= 676
Step2:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
Step3:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
So, Greatest Common Divisor of 676, 974, 894, 508 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 974, 894, 508
The greatest common divisor of numbers 676, 974, 894, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 974, 894, 508 is 2.
1. What is the GCD of 676, 974, 894, 508?
GCD of given numbers 676, 974, 894, 508 is 2
2. How to calculate the greatest common divisor of 676, 974, 894, 508?
We can find the highest common divisor of 676, 974, 894, 508 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, 974, 894, 508 i.e 2.
3. How can I use the GCD of 676, 974, 894, 508Calculator?
Out the numbers 676, 974, 894, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.