Online GCD Calculator is useful to find the GCD of 738, 618, 98, 548 quickly. Get the easiest ways to solve the greatest common divisor of 738, 618, 98, 548 i.e 2 in different methods as follows.
Given Input numbers are 738, 618, 98, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 98 :
The positive integer divisors of 98 that completely divides 98 are.
1, 2, 7, 14, 49, 98
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (738, 618, 98, 548) = 2.
Given numbers are 738, 618, 98, 548
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 618 are 2 x 3 x 103
Prime factors of 98 are 2 x 7 x 7
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 21
Therefore, GCD of 738, 618, 98, 548 is 2.
Given numbers are 738, 618, 98, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 618) = 76014
GCD(738, 618) = ( 738 x 618 ) / 76014
= 738 / 618
= 738
Step2:
LCM(6, 98) = 294
GCD(6, 98) = ( 6 x 98 ) / 294
= 6 / 98
= 6
Step3:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
So, Greatest Common Divisor of 738, 618, 98, 548 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 618, 98, 548
The greatest common divisor of numbers 738, 618, 98, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 618, 98, 548 is 2.
1. What is the GCD of 738, 618, 98, 548?
GCD of given numbers 738, 618, 98, 548 is 2
2. How to calculate the greatest common divisor of 738, 618, 98, 548?
We can find the highest common divisor of 738, 618, 98, 548 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 738, 618, 98, 548 i.e 2.
3. How can I use the GCD of 738, 618, 98, 548Calculator?
Out the numbers 738, 618, 98, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.