Online GCD Calculator is useful to find the GCD of 942, 178, 436, 280 quickly. Get the easiest ways to solve the greatest common divisor of 942, 178, 436, 280 i.e 2 in different methods as follows.
Given Input numbers are 942, 178, 436, 280
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 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (942, 178, 436, 280) = 2.
Given numbers are 942, 178, 436, 280
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 178 are 2 x 89
Prime factors of 436 are 2 x 2 x 109
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 942, 178, 436, 280 is 2.
Given numbers are 942, 178, 436, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 178) = 83838
GCD(942, 178) = ( 942 x 178 ) / 83838
= 942 / 178
= 942
Step2:
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
= 2 / 436
= 2
Step3:
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
= 2 / 280
= 2
So, Greatest Common Divisor of 942, 178, 436, 280 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 178, 436, 280
The greatest common divisor of numbers 942, 178, 436, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 178, 436, 280 is 2.
1. What is the GCD of 942, 178, 436, 280?
GCD of given numbers 942, 178, 436, 280 is 2
2. How to calculate the greatest common divisor of 942, 178, 436, 280?
We can find the highest common divisor of 942, 178, 436, 280 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, 178, 436, 280 i.e 2.
3. How can I use the GCD of 942, 178, 436, 280Calculator?
Out the numbers 942, 178, 436, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.