Online GCD Calculator is useful to find the GCD of 350, 746, 188, 688 quickly. Get the easiest ways to solve the greatest common divisor of 350, 746, 188, 688 i.e 2 in different methods as follows.
Given Input numbers are 350, 746, 188, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (350, 746, 188, 688) = 2.
Given numbers are 350, 746, 188, 688
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 746 are 2 x 373
Prime factors of 188 are 2 x 2 x 47
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 350, 746, 188, 688 is 2.
Given numbers are 350, 746, 188, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 746) = 130550
GCD(350, 746) = ( 350 x 746 ) / 130550
= 350 / 746
= 350
Step2:
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
= 2 / 188
= 2
Step3:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 350, 746, 188, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 746, 188, 688
The greatest common divisor of numbers 350, 746, 188, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 746, 188, 688 is 2.
1. What is the GCD of 350, 746, 188, 688?
GCD of given numbers 350, 746, 188, 688 is 2
2. How to calculate the greatest common divisor of 350, 746, 188, 688?
We can find the highest common divisor of 350, 746, 188, 688 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 350, 746, 188, 688 i.e 2.
3. How can I use the GCD of 350, 746, 188, 688Calculator?
Out the numbers 350, 746, 188, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.