Online GCD Calculator is useful to find the GCD of 424, 112, 848, 742 quickly. Get the easiest ways to solve the greatest common divisor of 424, 112, 848, 742 i.e 2 in different methods as follows.
Given Input numbers are 424, 112, 848, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (424, 112, 848, 742) = 2.
Given numbers are 424, 112, 848, 742
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 424, 112, 848, 742 is 2.
Given numbers are 424, 112, 848, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 112) = 5936
GCD(424, 112) = ( 424 x 112 ) / 5936
= 424 / 112
= 424
Step2:
LCM(8, 848) = 848
GCD(8, 848) = ( 8 x 848 ) / 848
= 8 / 848
= 8
Step3:
LCM(8, 742) = 2968
GCD(8, 742) = ( 8 x 742 ) / 2968
= 8 / 742
= 8
So, Greatest Common Divisor of 424, 112, 848, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 112, 848, 742
The greatest common divisor of numbers 424, 112, 848, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 112, 848, 742 is 2.
1. What is the GCD of 424, 112, 848, 742?
GCD of given numbers 424, 112, 848, 742 is 2
2. How to calculate the greatest common divisor of 424, 112, 848, 742?
We can find the highest common divisor of 424, 112, 848, 742 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 424, 112, 848, 742 i.e 2.
3. How can I use the GCD of 424, 112, 848, 742Calculator?
Out the numbers 424, 112, 848, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.