Online GCD Calculator is useful to find the GCD of 840, 244, 938, 972 quickly. Get the easiest ways to solve the greatest common divisor of 840, 244, 938, 972 i.e 2 in different methods as follows.
Given Input numbers are 840, 244, 938, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 244 :
The positive integer divisors of 244 that completely divides 244 are.
1, 2, 4, 61, 122, 244
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (840, 244, 938, 972) = 2.
Given numbers are 840, 244, 938, 972
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 244 are 2 x 2 x 61
Prime factors of 938 are 2 x 7 x 67
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 840, 244, 938, 972 is 2.
Given numbers are 840, 244, 938, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 244) = 51240
GCD(840, 244) = ( 840 x 244 ) / 51240
= 840 / 244
= 840
Step2:
LCM(4, 938) = 1876
GCD(4, 938) = ( 4 x 938 ) / 1876
= 4 / 938
= 4
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 840, 244, 938, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 244, 938, 972
The greatest common divisor of numbers 840, 244, 938, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 244, 938, 972 is 2.
1. What is the GCD of 840, 244, 938, 972?
GCD of given numbers 840, 244, 938, 972 is 2
2. How to calculate the greatest common divisor of 840, 244, 938, 972?
We can find the highest common divisor of 840, 244, 938, 972 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 840, 244, 938, 972 i.e 2.
3. How can I use the GCD of 840, 244, 938, 972Calculator?
Out the numbers 840, 244, 938, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.