Online GCD Calculator is useful to find the GCD of 292, 742, 356, 426 quickly. Get the easiest ways to solve the greatest common divisor of 292, 742, 356, 426 i.e 2 in different methods as follows.
Given Input numbers are 292, 742, 356, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (292, 742, 356, 426) = 2.
Given numbers are 292, 742, 356, 426
The list of prime factors of all numbers are
Prime factors of 292 are 2 x 2 x 73
Prime factors of 742 are 2 x 7 x 53
Prime factors of 356 are 2 x 2 x 89
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 21
Therefore, GCD of 292, 742, 356, 426 is 2.
Given numbers are 292, 742, 356, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(292, 742) = 108332
GCD(292, 742) = ( 292 x 742 ) / 108332
= 292 / 742
= 292
Step2:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
Step3:
LCM(2, 426) = 426
GCD(2, 426) = ( 2 x 426 ) / 426
= 2 / 426
= 2
So, Greatest Common Divisor of 292, 742, 356, 426 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 292, 742, 356, 426
The greatest common divisor of numbers 292, 742, 356, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 292, 742, 356, 426 is 2.
1. What is the GCD of 292, 742, 356, 426?
GCD of given numbers 292, 742, 356, 426 is 2
2. How to calculate the greatest common divisor of 292, 742, 356, 426?
We can find the highest common divisor of 292, 742, 356, 426 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 292, 742, 356, 426 i.e 2.
3. How can I use the GCD of 292, 742, 356, 426Calculator?
Out the numbers 292, 742, 356, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.