Online GCD Calculator is useful to find the GCD of 152, 478, 672, 994 quickly. Get the easiest ways to solve the greatest common divisor of 152, 478, 672, 994 i.e 2 in different methods as follows.
Given Input numbers are 152, 478, 672, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (152, 478, 672, 994) = 2.
Given numbers are 152, 478, 672, 994
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 478 are 2 x 239
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 994 are 2 x 7 x 71
The highest common occurrence is 21
Therefore, GCD of 152, 478, 672, 994 is 2.
Given numbers are 152, 478, 672, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 478) = 36328
GCD(152, 478) = ( 152 x 478 ) / 36328
= 152 / 478
= 152
Step2:
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
= 2 / 672
= 2
Step3:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
So, Greatest Common Divisor of 152, 478, 672, 994 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 478, 672, 994
The greatest common divisor of numbers 152, 478, 672, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 478, 672, 994 is 2.
1. What is the GCD of 152, 478, 672, 994?
GCD of given numbers 152, 478, 672, 994 is 2
2. How to calculate the greatest common divisor of 152, 478, 672, 994?
We can find the highest common divisor of 152, 478, 672, 994 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 152, 478, 672, 994 i.e 2.
3. How can I use the GCD of 152, 478, 672, 994Calculator?
Out the numbers 152, 478, 672, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.