Online GCD Calculator is useful to find the GCD of 140, 296, 348, 894 quickly. Get the easiest ways to solve the greatest common divisor of 140, 296, 348, 894 i.e 2 in different methods as follows.
Given Input numbers are 140, 296, 348, 894
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 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
GCD of numbers is the greatest common divisor
So, the GCD (140, 296, 348, 894) = 2.
Given numbers are 140, 296, 348, 894
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 894 are 2 x 3 x 149
The highest common occurrence is 21
Therefore, GCD of 140, 296, 348, 894 is 2.
Given numbers are 140, 296, 348, 894
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 296) = 10360
GCD(140, 296) = ( 140 x 296 ) / 10360
= 140 / 296
= 140
Step2:
LCM(4, 348) = 348
GCD(4, 348) = ( 4 x 348 ) / 348
= 4 / 348
= 4
Step3:
LCM(4, 894) = 1788
GCD(4, 894) = ( 4 x 894 ) / 1788
= 4 / 894
= 4
So, Greatest Common Divisor of 140, 296, 348, 894 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 296, 348, 894
The greatest common divisor of numbers 140, 296, 348, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 296, 348, 894 is 2.
1. What is the GCD of 140, 296, 348, 894?
GCD of given numbers 140, 296, 348, 894 is 2
2. How to calculate the greatest common divisor of 140, 296, 348, 894?
We can find the highest common divisor of 140, 296, 348, 894 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, 296, 348, 894 i.e 2.
3. How can I use the GCD of 140, 296, 348, 894Calculator?
Out the numbers 140, 296, 348, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.