Online GCD Calculator is useful to find the GCD of 976, 716, 130, 308 quickly. Get the easiest ways to solve the greatest common divisor of 976, 716, 130, 308 i.e 2 in different methods as follows.
Given Input numbers are 976, 716, 130, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (976, 716, 130, 308) = 2.
Given numbers are 976, 716, 130, 308
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 716 are 2 x 2 x 179
Prime factors of 130 are 2 x 5 x 13
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 976, 716, 130, 308 is 2.
Given numbers are 976, 716, 130, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 716) = 174704
GCD(976, 716) = ( 976 x 716 ) / 174704
= 976 / 716
= 976
Step2:
LCM(4, 130) = 260
GCD(4, 130) = ( 4 x 130 ) / 260
= 4 / 130
= 4
Step3:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 976, 716, 130, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 716, 130, 308
The greatest common divisor of numbers 976, 716, 130, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 716, 130, 308 is 2.
1. What is the GCD of 976, 716, 130, 308?
GCD of given numbers 976, 716, 130, 308 is 2
2. How to calculate the greatest common divisor of 976, 716, 130, 308?
We can find the highest common divisor of 976, 716, 130, 308 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 976, 716, 130, 308 i.e 2.
3. How can I use the GCD of 976, 716, 130, 308Calculator?
Out the numbers 976, 716, 130, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.