Online GCD Calculator is useful to find the GCD of 112, 130, 690, 148 quickly. Get the easiest ways to solve the greatest common divisor of 112, 130, 690, 148 i.e 2 in different methods as follows.
Given Input numbers are 112, 130, 690, 148
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 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
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 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (112, 130, 690, 148) = 2.
Given numbers are 112, 130, 690, 148
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 130 are 2 x 5 x 13
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 112, 130, 690, 148 is 2.
Given numbers are 112, 130, 690, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 130) = 7280
GCD(112, 130) = ( 112 x 130 ) / 7280
= 112 / 130
= 112
Step2:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 112, 130, 690, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 130, 690, 148
The greatest common divisor of numbers 112, 130, 690, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 130, 690, 148 is 2.
1. What is the GCD of 112, 130, 690, 148?
GCD of given numbers 112, 130, 690, 148 is 2
2. How to calculate the greatest common divisor of 112, 130, 690, 148?
We can find the highest common divisor of 112, 130, 690, 148 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, 130, 690, 148 i.e 2.
3. How can I use the GCD of 112, 130, 690, 148Calculator?
Out the numbers 112, 130, 690, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.