Online GCD Calculator is useful to find the GCD of 700, 345, 626, 112 quickly. Get the easiest ways to solve the greatest common divisor of 700, 345, 626, 112 i.e 1 in different methods as follows.
Given Input numbers are 700, 345, 626, 112
In the factoring method, we have to find the divisors of all numbers
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 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (700, 345, 626, 112) = 1.
Given numbers are 700, 345, 626, 112
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 345 are 3 x 5 x 23
Prime factors of 626 are 2 x 313
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 345, 626, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 345) = 48300
GCD(700, 345) = ( 700 x 345 ) / 48300
= 700 / 345
= 700
Step2:
LCM(5, 626) = 3130
GCD(5, 626) = ( 5 x 626 ) / 3130
= 5 / 626
= 5
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 700, 345, 626, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 345, 626, 112
The greatest common divisor of numbers 700, 345, 626, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 345, 626, 112 is 1.
1. What is the GCD of 700, 345, 626, 112?
GCD of given numbers 700, 345, 626, 112 is 1
2. How to calculate the greatest common divisor of 700, 345, 626, 112?
We can find the highest common divisor of 700, 345, 626, 112 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 700, 345, 626, 112 i.e 1.
3. How can I use the GCD of 700, 345, 626, 112Calculator?
Out the numbers 700, 345, 626, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.