Online GCD Calculator is useful to find the GCD of 942, 874, 438, 642 quickly. Get the easiest ways to solve the greatest common divisor of 942, 874, 438, 642 i.e 2 in different methods as follows.
Given Input numbers are 942, 874, 438, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (942, 874, 438, 642) = 2.
Given numbers are 942, 874, 438, 642
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 874 are 2 x 19 x 23
Prime factors of 438 are 2 x 3 x 73
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 21
Therefore, GCD of 942, 874, 438, 642 is 2.
Given numbers are 942, 874, 438, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 874) = 411654
GCD(942, 874) = ( 942 x 874 ) / 411654
= 942 / 874
= 942
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
Step3:
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
= 2 / 642
= 2
So, Greatest Common Divisor of 942, 874, 438, 642 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 874, 438, 642
The greatest common divisor of numbers 942, 874, 438, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 874, 438, 642 is 2.
1. What is the GCD of 942, 874, 438, 642?
GCD of given numbers 942, 874, 438, 642 is 2
2. How to calculate the greatest common divisor of 942, 874, 438, 642?
We can find the highest common divisor of 942, 874, 438, 642 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 942, 874, 438, 642 i.e 2.
3. How can I use the GCD of 942, 874, 438, 642Calculator?
Out the numbers 942, 874, 438, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.