Online GCD Calculator is useful to find the GCD of 140, 938, 64, 264 quickly. Get the easiest ways to solve the greatest common divisor of 140, 938, 64, 264 i.e 2 in different methods as follows.
Given Input numbers are 140, 938, 64, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (140, 938, 64, 264) = 2.
Given numbers are 140, 938, 64, 264
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 938 are 2 x 7 x 67
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 140, 938, 64, 264 is 2.
Given numbers are 140, 938, 64, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 938) = 9380
GCD(140, 938) = ( 140 x 938 ) / 9380
= 140 / 938
= 140
Step2:
LCM(14, 64) = 448
GCD(14, 64) = ( 14 x 64 ) / 448
= 14 / 64
= 14
Step3:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
So, Greatest Common Divisor of 140, 938, 64, 264 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 938, 64, 264
The greatest common divisor of numbers 140, 938, 64, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 938, 64, 264 is 2.
1. What is the GCD of 140, 938, 64, 264?
GCD of given numbers 140, 938, 64, 264 is 2
2. How to calculate the greatest common divisor of 140, 938, 64, 264?
We can find the highest common divisor of 140, 938, 64, 264 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 140, 938, 64, 264 i.e 2.
3. How can I use the GCD of 140, 938, 64, 264Calculator?
Out the numbers 140, 938, 64, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.