Online GCD Calculator is useful to find the GCD of 272, 754, 798, 342 quickly. Get the easiest ways to solve the greatest common divisor of 272, 754, 798, 342 i.e 2 in different methods as follows.
Given Input numbers are 272, 754, 798, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (272, 754, 798, 342) = 2.
Given numbers are 272, 754, 798, 342
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 754 are 2 x 13 x 29
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 272, 754, 798, 342 is 2.
Given numbers are 272, 754, 798, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 754) = 102544
GCD(272, 754) = ( 272 x 754 ) / 102544
= 272 / 754
= 272
Step2:
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
= 2 / 798
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 272, 754, 798, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 754, 798, 342
The greatest common divisor of numbers 272, 754, 798, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 754, 798, 342 is 2.
1. What is the GCD of 272, 754, 798, 342?
GCD of given numbers 272, 754, 798, 342 is 2
2. How to calculate the greatest common divisor of 272, 754, 798, 342?
We can find the highest common divisor of 272, 754, 798, 342 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 272, 754, 798, 342 i.e 2.
3. How can I use the GCD of 272, 754, 798, 342Calculator?
Out the numbers 272, 754, 798, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.