Online GCD Calculator is useful to find the GCD of 742, 476, 430, 428 quickly. Get the easiest ways to solve the greatest common divisor of 742, 476, 430, 428 i.e 2 in different methods as follows.
Given Input numbers are 742, 476, 430, 428
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (742, 476, 430, 428) = 2.
Given numbers are 742, 476, 430, 428
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 430 are 2 x 5 x 43
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 742, 476, 430, 428 is 2.
Given numbers are 742, 476, 430, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 476) = 25228
GCD(742, 476) = ( 742 x 476 ) / 25228
= 742 / 476
= 742
Step2:
LCM(14, 430) = 3010
GCD(14, 430) = ( 14 x 430 ) / 3010
= 14 / 430
= 14
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 742, 476, 430, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 476, 430, 428
The greatest common divisor of numbers 742, 476, 430, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 476, 430, 428 is 2.
1. What is the GCD of 742, 476, 430, 428?
GCD of given numbers 742, 476, 430, 428 is 2
2. How to calculate the greatest common divisor of 742, 476, 430, 428?
We can find the highest common divisor of 742, 476, 430, 428 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, 476, 430, 428 i.e 2.
3. How can I use the GCD of 742, 476, 430, 428Calculator?
Out the numbers 742, 476, 430, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.