Online GCD Calculator is useful to find the GCD of 632, 874, 138, 828 quickly. Get the easiest ways to solve the greatest common divisor of 632, 874, 138, 828 i.e 2 in different methods as follows.
Given Input numbers are 632, 874, 138, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (632, 874, 138, 828) = 2.
Given numbers are 632, 874, 138, 828
The list of prime factors of all numbers are
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 874 are 2 x 19 x 23
Prime factors of 138 are 2 x 3 x 23
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 632, 874, 138, 828 is 2.
Given numbers are 632, 874, 138, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(632, 874) = 276184
GCD(632, 874) = ( 632 x 874 ) / 276184
= 632 / 874
= 632
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 632, 874, 138, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 632, 874, 138, 828
The greatest common divisor of numbers 632, 874, 138, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 874, 138, 828 is 2.
1. What is the GCD of 632, 874, 138, 828?
GCD of given numbers 632, 874, 138, 828 is 2
2. How to calculate the greatest common divisor of 632, 874, 138, 828?
We can find the highest common divisor of 632, 874, 138, 828 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 632, 874, 138, 828 i.e 2.
3. How can I use the GCD of 632, 874, 138, 828Calculator?
Out the numbers 632, 874, 138, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.