Online GCD Calculator is useful to find the GCD of 628, 680, 778, 112 quickly. Get the easiest ways to solve the greatest common divisor of 628, 680, 778, 112 i.e 2 in different methods as follows.
Given Input numbers are 628, 680, 778, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
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 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
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 (628, 680, 778, 112) = 2.
Given numbers are 628, 680, 778, 112
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 778 are 2 x 389
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 628, 680, 778, 112 is 2.
Given numbers are 628, 680, 778, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 680) = 106760
GCD(628, 680) = ( 628 x 680 ) / 106760
= 628 / 680
= 628
Step2:
LCM(4, 778) = 1556
GCD(4, 778) = ( 4 x 778 ) / 1556
= 4 / 778
= 4
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 628, 680, 778, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 680, 778, 112
The greatest common divisor of numbers 628, 680, 778, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 680, 778, 112 is 2.
1. What is the GCD of 628, 680, 778, 112?
GCD of given numbers 628, 680, 778, 112 is 2
2. How to calculate the greatest common divisor of 628, 680, 778, 112?
We can find the highest common divisor of 628, 680, 778, 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 628, 680, 778, 112 i.e 2.
3. How can I use the GCD of 628, 680, 778, 112Calculator?
Out the numbers 628, 680, 778, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.