Online GCD Calculator is useful to find the GCD of 920, 952, 742, 492 quickly. Get the easiest ways to solve the greatest common divisor of 920, 952, 742, 492 i.e 2 in different methods as follows.
Given Input numbers are 920, 952, 742, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (920, 952, 742, 492) = 2.
Given numbers are 920, 952, 742, 492
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 742 are 2 x 7 x 53
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 920, 952, 742, 492 is 2.
Given numbers are 920, 952, 742, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 952) = 109480
GCD(920, 952) = ( 920 x 952 ) / 109480
= 920 / 952
= 920
Step2:
LCM(8, 742) = 2968
GCD(8, 742) = ( 8 x 742 ) / 2968
= 8 / 742
= 8
Step3:
LCM(2, 492) = 492
GCD(2, 492) = ( 2 x 492 ) / 492
= 2 / 492
= 2
So, Greatest Common Divisor of 920, 952, 742, 492 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 952, 742, 492
The greatest common divisor of numbers 920, 952, 742, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 952, 742, 492 is 2.
1. What is the GCD of 920, 952, 742, 492?
GCD of given numbers 920, 952, 742, 492 is 2
2. How to calculate the greatest common divisor of 920, 952, 742, 492?
We can find the highest common divisor of 920, 952, 742, 492 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 920, 952, 742, 492 i.e 2.
3. How can I use the GCD of 920, 952, 742, 492Calculator?
Out the numbers 920, 952, 742, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.