Online GCD Calculator is useful to find the GCD of 708, 700, 976, 716 quickly. Get the easiest ways to solve the greatest common divisor of 708, 700, 976, 716 i.e 4 in different methods as follows.
Given Input numbers are 708, 700, 976, 716
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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
GCD of numbers is the greatest common divisor
So, the GCD (708, 700, 976, 716) = 4.
Given numbers are 708, 700, 976, 716
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 22
Therefore, GCD of 708, 700, 976, 716 is 4.
Given numbers are 708, 700, 976, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 700) = 123900
GCD(708, 700) = ( 708 x 700 ) / 123900
= 708 / 700
= 708
Step2:
LCM(4, 976) = 976
GCD(4, 976) = ( 4 x 976 ) / 976
= 4 / 976
= 4
Step3:
LCM(4, 716) = 716
GCD(4, 716) = ( 4 x 716 ) / 716
= 4 / 716
= 4
So, Greatest Common Divisor of 708, 700, 976, 716 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 700, 976, 716
The greatest common divisor of numbers 708, 700, 976, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 700, 976, 716 is 4.
1. What is the GCD of 708, 700, 976, 716?
GCD of given numbers 708, 700, 976, 716 is 4
2. How to calculate the greatest common divisor of 708, 700, 976, 716?
We can find the highest common divisor of 708, 700, 976, 716 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 708, 700, 976, 716 i.e 4.
3. How can I use the GCD of 708, 700, 976, 716Calculator?
Out the numbers 708, 700, 976, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.