Online GCD Calculator is useful to find the GCD of 690, 140, 836, 112 quickly. Get the easiest ways to solve the greatest common divisor of 690, 140, 836, 112 i.e 2 in different methods as follows.
Given Input numbers are 690, 140, 836, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
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 (690, 140, 836, 112) = 2.
Given numbers are 690, 140, 836, 112
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 690, 140, 836, 112 is 2.
Given numbers are 690, 140, 836, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 140) = 9660
GCD(690, 140) = ( 690 x 140 ) / 9660
= 690 / 140
= 690
Step2:
LCM(10, 836) = 4180
GCD(10, 836) = ( 10 x 836 ) / 4180
= 10 / 836
= 10
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 690, 140, 836, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 140, 836, 112
The greatest common divisor of numbers 690, 140, 836, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 140, 836, 112 is 2.
1. What is the GCD of 690, 140, 836, 112?
GCD of given numbers 690, 140, 836, 112 is 2
2. How to calculate the greatest common divisor of 690, 140, 836, 112?
We can find the highest common divisor of 690, 140, 836, 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 690, 140, 836, 112 i.e 2.
3. How can I use the GCD of 690, 140, 836, 112Calculator?
Out the numbers 690, 140, 836, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.