Online GCD Calculator is useful to find the GCD of 112, 208, 715, 680 quickly. Get the easiest ways to solve the greatest common divisor of 112, 208, 715, 680 i.e 1 in different methods as follows.
Given Input numbers are 112, 208, 715, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
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
GCD of numbers is the greatest common divisor
So, the GCD (112, 208, 715, 680) = 1.
Given numbers are 112, 208, 715, 680
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 715 are 5 x 11 x 13
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 208, 715, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 208) = 1456
GCD(112, 208) = ( 112 x 208 ) / 1456
= 112 / 208
= 112
Step2:
LCM(16, 715) = 11440
GCD(16, 715) = ( 16 x 715 ) / 11440
= 16 / 715
= 16
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 112, 208, 715, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 208, 715, 680
The greatest common divisor of numbers 112, 208, 715, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 208, 715, 680 is 1.
1. What is the GCD of 112, 208, 715, 680?
GCD of given numbers 112, 208, 715, 680 is 1
2. How to calculate the greatest common divisor of 112, 208, 715, 680?
We can find the highest common divisor of 112, 208, 715, 680 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 112, 208, 715, 680 i.e 1.
3. How can I use the GCD of 112, 208, 715, 680Calculator?
Out the numbers 112, 208, 715, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.