Online GCD Calculator is useful to find the GCD of 434, 154, 371, 784 quickly. Get the easiest ways to solve the greatest common divisor of 434, 154, 371, 784 i.e 7 in different methods as follows.
Given Input numbers are 434, 154, 371, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (434, 154, 371, 784) = 7.
Given numbers are 434, 154, 371, 784
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 154 are 2 x 7 x 11
Prime factors of 371 are 7 x 53
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 71
Therefore, GCD of 434, 154, 371, 784 is 7.
Given numbers are 434, 154, 371, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 154) = 4774
GCD(434, 154) = ( 434 x 154 ) / 4774
= 434 / 154
= 434
Step2:
LCM(14, 371) = 742
GCD(14, 371) = ( 14 x 371 ) / 742
= 14 / 371
= 14
Step3:
LCM(7, 784) = 784
GCD(7, 784) = ( 7 x 784 ) / 784
= 7 / 784
= 7
So, Greatest Common Divisor of 434, 154, 371, 784 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 154, 371, 784
The greatest common divisor of numbers 434, 154, 371, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 154, 371, 784 is 7.
1. What is the GCD of 434, 154, 371, 784?
GCD of given numbers 434, 154, 371, 784 is 7
2. How to calculate the greatest common divisor of 434, 154, 371, 784?
We can find the highest common divisor of 434, 154, 371, 784 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 434, 154, 371, 784 i.e 7.
3. How can I use the GCD of 434, 154, 371, 784Calculator?
Out the numbers 434, 154, 371, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.