Online GCD Calculator is useful to find the GCD of 680, 488, 316, 892 quickly. Get the easiest ways to solve the greatest common divisor of 680, 488, 316, 892 i.e 4 in different methods as follows.
Given Input numbers are 680, 488, 316, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (680, 488, 316, 892) = 4.
Given numbers are 680, 488, 316, 892
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 316 are 2 x 2 x 79
Prime factors of 892 are 2 x 2 x 223
The highest common occurrence is 22
Therefore, GCD of 680, 488, 316, 892 is 4.
Given numbers are 680, 488, 316, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 488) = 41480
GCD(680, 488) = ( 680 x 488 ) / 41480
= 680 / 488
= 680
Step2:
LCM(8, 316) = 632
GCD(8, 316) = ( 8 x 316 ) / 632
= 8 / 316
= 8
Step3:
LCM(4, 892) = 892
GCD(4, 892) = ( 4 x 892 ) / 892
= 4 / 892
= 4
So, Greatest Common Divisor of 680, 488, 316, 892 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 488, 316, 892
The greatest common divisor of numbers 680, 488, 316, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 488, 316, 892 is 4.
1. What is the GCD of 680, 488, 316, 892?
GCD of given numbers 680, 488, 316, 892 is 4
2. How to calculate the greatest common divisor of 680, 488, 316, 892?
We can find the highest common divisor of 680, 488, 316, 892 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 680, 488, 316, 892 i.e 4.
3. How can I use the GCD of 680, 488, 316, 892Calculator?
Out the numbers 680, 488, 316, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.