Online GCD Calculator is useful to find the GCD of 274, 224, 938, 642 quickly. Get the easiest ways to solve the greatest common divisor of 274, 224, 938, 642 i.e 2 in different methods as follows.
Given Input numbers are 274, 224, 938, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (274, 224, 938, 642) = 2.
Given numbers are 274, 224, 938, 642
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 938 are 2 x 7 x 67
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 21
Therefore, GCD of 274, 224, 938, 642 is 2.
Given numbers are 274, 224, 938, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 224) = 30688
GCD(274, 224) = ( 274 x 224 ) / 30688
= 274 / 224
= 274
Step2:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
Step3:
LCM(2, 642) = 642
GCD(2, 642) = ( 2 x 642 ) / 642
= 2 / 642
= 2
So, Greatest Common Divisor of 274, 224, 938, 642 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 224, 938, 642
The greatest common divisor of numbers 274, 224, 938, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 224, 938, 642 is 2.
1. What is the GCD of 274, 224, 938, 642?
GCD of given numbers 274, 224, 938, 642 is 2
2. How to calculate the greatest common divisor of 274, 224, 938, 642?
We can find the highest common divisor of 274, 224, 938, 642 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 274, 224, 938, 642 i.e 2.
3. How can I use the GCD of 274, 224, 938, 642Calculator?
Out the numbers 274, 224, 938, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.