Online GCD Calculator is useful to find the GCD of 118, 548, 734, 690 quickly. Get the easiest ways to solve the greatest common divisor of 118, 548, 734, 690 i.e 2 in different methods as follows.
Given Input numbers are 118, 548, 734, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
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
GCD of numbers is the greatest common divisor
So, the GCD (118, 548, 734, 690) = 2.
Given numbers are 118, 548, 734, 690
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 548 are 2 x 2 x 137
Prime factors of 734 are 2 x 367
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 118, 548, 734, 690 is 2.
Given numbers are 118, 548, 734, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 548) = 32332
GCD(118, 548) = ( 118 x 548 ) / 32332
= 118 / 548
= 118
Step2:
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
= 2 / 734
= 2
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 118, 548, 734, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 548, 734, 690
The greatest common divisor of numbers 118, 548, 734, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 548, 734, 690 is 2.
1. What is the GCD of 118, 548, 734, 690?
GCD of given numbers 118, 548, 734, 690 is 2
2. How to calculate the greatest common divisor of 118, 548, 734, 690?
We can find the highest common divisor of 118, 548, 734, 690 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 118, 548, 734, 690 i.e 2.
3. How can I use the GCD of 118, 548, 734, 690Calculator?
Out the numbers 118, 548, 734, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.