Online GCD Calculator is useful to find the GCD of 710, 428, 972, 116 quickly. Get the easiest ways to solve the greatest common divisor of 710, 428, 972, 116 i.e 2 in different methods as follows.
Given Input numbers are 710, 428, 972, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (710, 428, 972, 116) = 2.
Given numbers are 710, 428, 972, 116
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 428 are 2 x 2 x 107
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 710, 428, 972, 116 is 2.
Given numbers are 710, 428, 972, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 428) = 151940
GCD(710, 428) = ( 710 x 428 ) / 151940
= 710 / 428
= 710
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 710, 428, 972, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 428, 972, 116
The greatest common divisor of numbers 710, 428, 972, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 428, 972, 116 is 2.
1. What is the GCD of 710, 428, 972, 116?
GCD of given numbers 710, 428, 972, 116 is 2
2. How to calculate the greatest common divisor of 710, 428, 972, 116?
We can find the highest common divisor of 710, 428, 972, 116 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 710, 428, 972, 116 i.e 2.
3. How can I use the GCD of 710, 428, 972, 116Calculator?
Out the numbers 710, 428, 972, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.