Online GCD Calculator is useful to find the GCD of 942, 564, 429, 279 quickly. Get the easiest ways to solve the greatest common divisor of 942, 564, 429, 279 i.e 3 in different methods as follows.
Given Input numbers are 942, 564, 429, 279
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
GCD of numbers is the greatest common divisor
So, the GCD (942, 564, 429, 279) = 3.
Given numbers are 942, 564, 429, 279
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 429 are 3 x 11 x 13
Prime factors of 279 are 3 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 942, 564, 429, 279 is 3.
Given numbers are 942, 564, 429, 279
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 564) = 88548
GCD(942, 564) = ( 942 x 564 ) / 88548
= 942 / 564
= 942
Step2:
LCM(6, 429) = 858
GCD(6, 429) = ( 6 x 429 ) / 858
= 6 / 429
= 6
Step3:
LCM(3, 279) = 279
GCD(3, 279) = ( 3 x 279 ) / 279
= 3 / 279
= 3
So, Greatest Common Divisor of 942, 564, 429, 279 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 564, 429, 279
The greatest common divisor of numbers 942, 564, 429, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 564, 429, 279 is 3.
1. What is the GCD of 942, 564, 429, 279?
GCD of given numbers 942, 564, 429, 279 is 3
2. How to calculate the greatest common divisor of 942, 564, 429, 279?
We can find the highest common divisor of 942, 564, 429, 279 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, 564, 429, 279 i.e 3.
3. How can I use the GCD of 942, 564, 429, 279Calculator?
Out the numbers 942, 564, 429, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.