Online GCD Calculator is useful to find the GCD of 542, 720, 742, 957 quickly. Get the easiest ways to solve the greatest common divisor of 542, 720, 742, 957 i.e 1 in different methods as follows.
Given Input numbers are 542, 720, 742, 957
In the factoring method, we have to find the divisors of all numbers
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (542, 720, 742, 957) = 1.
Given numbers are 542, 720, 742, 957
The list of prime factors of all numbers are
Prime factors of 542 are 2 x 271
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 742 are 2 x 7 x 53
Prime factors of 957 are 3 x 11 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 542, 720, 742, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(542, 720) = 195120
GCD(542, 720) = ( 542 x 720 ) / 195120
= 542 / 720
= 542
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
Step3:
LCM(2, 957) = 1914
GCD(2, 957) = ( 2 x 957 ) / 1914
= 2 / 957
= 2
So, Greatest Common Divisor of 542, 720, 742, 957 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 542, 720, 742, 957
The greatest common divisor of numbers 542, 720, 742, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 720, 742, 957 is 1.
1. What is the GCD of 542, 720, 742, 957?
GCD of given numbers 542, 720, 742, 957 is 1
2. How to calculate the greatest common divisor of 542, 720, 742, 957?
We can find the highest common divisor of 542, 720, 742, 957 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 542, 720, 742, 957 i.e 1.
3. How can I use the GCD of 542, 720, 742, 957Calculator?
Out the numbers 542, 720, 742, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.