Online GCD Calculator is useful to find the GCD of 424, 140, 274, 308 quickly. Get the easiest ways to solve the greatest common divisor of 424, 140, 274, 308 i.e 2 in different methods as follows.
Given Input numbers are 424, 140, 274, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
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 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (424, 140, 274, 308) = 2.
Given numbers are 424, 140, 274, 308
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 274 are 2 x 137
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 424, 140, 274, 308 is 2.
Given numbers are 424, 140, 274, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 140) = 14840
GCD(424, 140) = ( 424 x 140 ) / 14840
= 424 / 140
= 424
Step2:
LCM(4, 274) = 548
GCD(4, 274) = ( 4 x 274 ) / 548
= 4 / 274
= 4
Step3:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 424, 140, 274, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 140, 274, 308
The greatest common divisor of numbers 424, 140, 274, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 140, 274, 308 is 2.
1. What is the GCD of 424, 140, 274, 308?
GCD of given numbers 424, 140, 274, 308 is 2
2. How to calculate the greatest common divisor of 424, 140, 274, 308?
We can find the highest common divisor of 424, 140, 274, 308 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 424, 140, 274, 308 i.e 2.
3. How can I use the GCD of 424, 140, 274, 308Calculator?
Out the numbers 424, 140, 274, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.