Online GCD Calculator is useful to find the GCD of 942, 874, 532, 172 quickly. Get the easiest ways to solve the greatest common divisor of 942, 874, 532, 172 i.e 2 in different methods as follows.
Given Input numbers are 942, 874, 532, 172
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 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (942, 874, 532, 172) = 2.
Given numbers are 942, 874, 532, 172
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 532 are 2 x 2 x 7 x 19
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 942, 874, 532, 172 is 2.
Given numbers are 942, 874, 532, 172
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, 532) = 532
GCD(2, 532) = ( 2 x 532 ) / 532
= 2 / 532
= 2
Step3:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 942, 874, 532, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 874, 532, 172
The greatest common divisor of numbers 942, 874, 532, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 874, 532, 172 is 2.
1. What is the GCD of 942, 874, 532, 172?
GCD of given numbers 942, 874, 532, 172 is 2
2. How to calculate the greatest common divisor of 942, 874, 532, 172?
We can find the highest common divisor of 942, 874, 532, 172 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, 532, 172 i.e 2.
3. How can I use the GCD of 942, 874, 532, 172Calculator?
Out the numbers 942, 874, 532, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.