Online GCD Calculator is useful to find the GCD of 376, 782, 732, 974 quickly. Get the easiest ways to solve the greatest common divisor of 376, 782, 732, 974 i.e 2 in different methods as follows.
Given Input numbers are 376, 782, 732, 974
In the factoring method, we have to find the divisors of all numbers
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
GCD of numbers is the greatest common divisor
So, the GCD (376, 782, 732, 974) = 2.
Given numbers are 376, 782, 732, 974
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 782 are 2 x 17 x 23
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 974 are 2 x 487
The highest common occurrence is 21
Therefore, GCD of 376, 782, 732, 974 is 2.
Given numbers are 376, 782, 732, 974
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 782) = 147016
GCD(376, 782) = ( 376 x 782 ) / 147016
= 376 / 782
= 376
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 974) = 974
GCD(2, 974) = ( 2 x 974 ) / 974
= 2 / 974
= 2
So, Greatest Common Divisor of 376, 782, 732, 974 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 376, 782, 732, 974
The greatest common divisor of numbers 376, 782, 732, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 782, 732, 974 is 2.
1. What is the GCD of 376, 782, 732, 974?
GCD of given numbers 376, 782, 732, 974 is 2
2. How to calculate the greatest common divisor of 376, 782, 732, 974?
We can find the highest common divisor of 376, 782, 732, 974 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 376, 782, 732, 974 i.e 2.
3. How can I use the GCD of 376, 782, 732, 974Calculator?
Out the numbers 376, 782, 732, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.