Online GCD Calculator is useful to find the GCD of 504, 140, 742 quickly. Get the easiest ways to solve the greatest common divisor of 504, 140, 742 i.e 14 in different methods as follows.
Given Input numbers are 504, 140, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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 (504, 140, 742) = 14.
Given numbers are 504, 140, 742
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21 x 71
Therefore, GCD of 504, 140, 742 is 14.
Given numbers are 504, 140, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 140) = 2520
GCD(504, 140) = ( 504 x 140 ) / 2520
= 504 / 140
= 504
Step2:
LCM(28, 742) = 1484
GCD(28, 742) = ( 28 x 742 ) / 1484
= 28 / 742
= 28
So, Greatest Common Divisor of 504, 140, 742 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 140, 742
The greatest common divisor of numbers 504, 140, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 140, 742 is 14.
1. What is the GCD of 504, 140, 742?
GCD of given numbers 504, 140, 742 is 14
2. How to calculate the greatest common divisor of 504, 140, 742?
We can find the highest common divisor of 504, 140, 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 504, 140, 742 i.e 14.
3. How can I use the GCD of 504, 140, 742Calculator?
Out the numbers 504, 140, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.