Online GCD Calculator is useful to find the GCD of 742, 548, 55 quickly. Get the easiest ways to solve the greatest common divisor of 742, 548, 55 i.e 1 in different methods as follows.
Given Input numbers are 742, 548, 55
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 55 :
The positive integer divisors of 55 that completely divides 55 are.
1, 5, 11, 55
GCD of numbers is the greatest common divisor
So, the GCD (742, 548, 55) = 1.
Given numbers are 742, 548, 55
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 548 are 2 x 2 x 137
Prime factors of 55 are 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 548, 55
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 548) = 203308
GCD(742, 548) = ( 742 x 548 ) / 203308
= 742 / 548
= 742
Step2:
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
= 2 / 55
= 2
So, Greatest Common Divisor of 742, 548, 55 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 548, 55
The greatest common divisor of numbers 742, 548, 55 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 548, 55 is 1.
1. What is the GCD of 742, 548, 55?
GCD of given numbers 742, 548, 55 is 1
2. How to calculate the greatest common divisor of 742, 548, 55?
We can find the highest common divisor of 742, 548, 55 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 742, 548, 55 i.e 1.
3. How can I use the GCD of 742, 548, 55Calculator?
Out the numbers 742, 548, 55 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.