Online GCD Calculator is useful to find the GCD of 742, 772, 542, 778 quickly. Get the easiest ways to solve the greatest common divisor of 742, 772, 542, 778 i.e 2 in different methods as follows.
Given Input numbers are 742, 772, 542, 778
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
GCD of numbers is the greatest common divisor
So, the GCD (742, 772, 542, 778) = 2.
Given numbers are 742, 772, 542, 778
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 772 are 2 x 2 x 193
Prime factors of 542 are 2 x 271
Prime factors of 778 are 2 x 389
The highest common occurrence is 21
Therefore, GCD of 742, 772, 542, 778 is 2.
Given numbers are 742, 772, 542, 778
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 772) = 286412
GCD(742, 772) = ( 742 x 772 ) / 286412
= 742 / 772
= 742
Step2:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
Step3:
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
= 2 / 778
= 2
So, Greatest Common Divisor of 742, 772, 542, 778 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 772, 542, 778
The greatest common divisor of numbers 742, 772, 542, 778 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 772, 542, 778 is 2.
1. What is the GCD of 742, 772, 542, 778?
GCD of given numbers 742, 772, 542, 778 is 2
2. How to calculate the greatest common divisor of 742, 772, 542, 778?
We can find the highest common divisor of 742, 772, 542, 778 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, 772, 542, 778 i.e 2.
3. How can I use the GCD of 742, 772, 542, 778Calculator?
Out the numbers 742, 772, 542, 778 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.