Online GCD Calculator is useful to find the GCD of 354, 734, 618, 130 quickly. Get the easiest ways to solve the greatest common divisor of 354, 734, 618, 130 i.e 2 in different methods as follows.
Given Input numbers are 354, 734, 618, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (354, 734, 618, 130) = 2.
Given numbers are 354, 734, 618, 130
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 734 are 2 x 367
Prime factors of 618 are 2 x 3 x 103
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 354, 734, 618, 130 is 2.
Given numbers are 354, 734, 618, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 734) = 129918
GCD(354, 734) = ( 354 x 734 ) / 129918
= 354 / 734
= 354
Step2:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 354, 734, 618, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 734, 618, 130
The greatest common divisor of numbers 354, 734, 618, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 734, 618, 130 is 2.
1. What is the GCD of 354, 734, 618, 130?
GCD of given numbers 354, 734, 618, 130 is 2
2. How to calculate the greatest common divisor of 354, 734, 618, 130?
We can find the highest common divisor of 354, 734, 618, 130 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 354, 734, 618, 130 i.e 2.
3. How can I use the GCD of 354, 734, 618, 130Calculator?
Out the numbers 354, 734, 618, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.