Online GCD Calculator is useful to find the GCD of 754, 840, 752, 742 quickly. Get the easiest ways to solve the greatest common divisor of 754, 840, 752, 742 i.e 2 in different methods as follows.
Given Input numbers are 754, 840, 752, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (754, 840, 752, 742) = 2.
Given numbers are 754, 840, 752, 742
The list of prime factors of all numbers are
Prime factors of 754 are 2 x 13 x 29
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 754, 840, 752, 742 is 2.
Given numbers are 754, 840, 752, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(754, 840) = 316680
GCD(754, 840) = ( 754 x 840 ) / 316680
= 754 / 840
= 754
Step2:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 754, 840, 752, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 754, 840, 752, 742
The greatest common divisor of numbers 754, 840, 752, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 840, 752, 742 is 2.
1. What is the GCD of 754, 840, 752, 742?
GCD of given numbers 754, 840, 752, 742 is 2
2. How to calculate the greatest common divisor of 754, 840, 752, 742?
We can find the highest common divisor of 754, 840, 752, 742 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 754, 840, 752, 742 i.e 2.
3. How can I use the GCD of 754, 840, 752, 742Calculator?
Out the numbers 754, 840, 752, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.