Online GCD Calculator is useful to find the GCD of 942, 744, 268, 870 quickly. Get the easiest ways to solve the greatest common divisor of 942, 744, 268, 870 i.e 2 in different methods as follows.
Given Input numbers are 942, 744, 268, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (942, 744, 268, 870) = 2.
Given numbers are 942, 744, 268, 870
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 268 are 2 x 2 x 67
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 942, 744, 268, 870 is 2.
Given numbers are 942, 744, 268, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 744) = 116808
GCD(942, 744) = ( 942 x 744 ) / 116808
= 942 / 744
= 942
Step2:
LCM(6, 268) = 804
GCD(6, 268) = ( 6 x 268 ) / 804
= 6 / 268
= 6
Step3:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
So, Greatest Common Divisor of 942, 744, 268, 870 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 744, 268, 870
The greatest common divisor of numbers 942, 744, 268, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 744, 268, 870 is 2.
1. What is the GCD of 942, 744, 268, 870?
GCD of given numbers 942, 744, 268, 870 is 2
2. How to calculate the greatest common divisor of 942, 744, 268, 870?
We can find the highest common divisor of 942, 744, 268, 870 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 942, 744, 268, 870 i.e 2.
3. How can I use the GCD of 942, 744, 268, 870Calculator?
Out the numbers 942, 744, 268, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.