Online GCD Calculator is useful to find the GCD of 316, 542, 980, 696 quickly. Get the easiest ways to solve the greatest common divisor of 316, 542, 980, 696 i.e 2 in different methods as follows.
Given Input numbers are 316, 542, 980, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (316, 542, 980, 696) = 2.
Given numbers are 316, 542, 980, 696
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 542 are 2 x 271
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 316, 542, 980, 696 is 2.
Given numbers are 316, 542, 980, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 542) = 85636
GCD(316, 542) = ( 316 x 542 ) / 85636
= 316 / 542
= 316
Step2:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
Step3:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
So, Greatest Common Divisor of 316, 542, 980, 696 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 542, 980, 696
The greatest common divisor of numbers 316, 542, 980, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 542, 980, 696 is 2.
1. What is the GCD of 316, 542, 980, 696?
GCD of given numbers 316, 542, 980, 696 is 2
2. How to calculate the greatest common divisor of 316, 542, 980, 696?
We can find the highest common divisor of 316, 542, 980, 696 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 316, 542, 980, 696 i.e 2.
3. How can I use the GCD of 316, 542, 980, 696Calculator?
Out the numbers 316, 542, 980, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.