Online GCD Calculator is useful to find the GCD of 290, 650, 692, 112 quickly. Get the easiest ways to solve the greatest common divisor of 290, 650, 692, 112 i.e 2 in different methods as follows.
Given Input numbers are 290, 650, 692, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
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 (290, 650, 692, 112) = 2.
Given numbers are 290, 650, 692, 112
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 692 are 2 x 2 x 173
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 290, 650, 692, 112 is 2.
Given numbers are 290, 650, 692, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 650) = 18850
GCD(290, 650) = ( 290 x 650 ) / 18850
= 290 / 650
= 290
Step2:
LCM(10, 692) = 3460
GCD(10, 692) = ( 10 x 692 ) / 3460
= 10 / 692
= 10
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 290, 650, 692, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 650, 692, 112
The greatest common divisor of numbers 290, 650, 692, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 650, 692, 112 is 2.
1. What is the GCD of 290, 650, 692, 112?
GCD of given numbers 290, 650, 692, 112 is 2
2. How to calculate the greatest common divisor of 290, 650, 692, 112?
We can find the highest common divisor of 290, 650, 692, 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 290, 650, 692, 112 i.e 2.
3. How can I use the GCD of 290, 650, 692, 112Calculator?
Out the numbers 290, 650, 692, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.