Online GCD Calculator is useful to find the GCD of 938, 252, 286, 354 quickly. Get the easiest ways to solve the greatest common divisor of 938, 252, 286, 354 i.e 2 in different methods as follows.
Given Input numbers are 938, 252, 286, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (938, 252, 286, 354) = 2.
Given numbers are 938, 252, 286, 354
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 286 are 2 x 11 x 13
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 938, 252, 286, 354 is 2.
Given numbers are 938, 252, 286, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 252) = 16884
GCD(938, 252) = ( 938 x 252 ) / 16884
= 938 / 252
= 938
Step2:
LCM(14, 286) = 2002
GCD(14, 286) = ( 14 x 286 ) / 2002
= 14 / 286
= 14
Step3:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
So, Greatest Common Divisor of 938, 252, 286, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 252, 286, 354
The greatest common divisor of numbers 938, 252, 286, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 252, 286, 354 is 2.
1. What is the GCD of 938, 252, 286, 354?
GCD of given numbers 938, 252, 286, 354 is 2
2. How to calculate the greatest common divisor of 938, 252, 286, 354?
We can find the highest common divisor of 938, 252, 286, 354 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 938, 252, 286, 354 i.e 2.
3. How can I use the GCD of 938, 252, 286, 354Calculator?
Out the numbers 938, 252, 286, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.