Online GCD Calculator is useful to find the GCD of 140, 476, 70, 728 quickly. Get the easiest ways to solve the greatest common divisor of 140, 476, 70, 728 i.e 14 in different methods as follows.
Given Input numbers are 140, 476, 70, 728
In the factoring method, we have to find the divisors of all numbers
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (140, 476, 70, 728) = 14.
Given numbers are 140, 476, 70, 728
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 70 are 2 x 5 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 21 x 71
Therefore, GCD of 140, 476, 70, 728 is 14.
Given numbers are 140, 476, 70, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 476) = 2380
GCD(140, 476) = ( 140 x 476 ) / 2380
= 140 / 476
= 140
Step2:
LCM(28, 70) = 140
GCD(28, 70) = ( 28 x 70 ) / 140
= 28 / 70
= 28
Step3:
LCM(14, 728) = 728
GCD(14, 728) = ( 14 x 728 ) / 728
= 14 / 728
= 14
So, Greatest Common Divisor of 140, 476, 70, 728 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 476, 70, 728
The greatest common divisor of numbers 140, 476, 70, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 476, 70, 728 is 14.
1. What is the GCD of 140, 476, 70, 728?
GCD of given numbers 140, 476, 70, 728 is 14
2. How to calculate the greatest common divisor of 140, 476, 70, 728?
We can find the highest common divisor of 140, 476, 70, 728 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 140, 476, 70, 728 i.e 14.
3. How can I use the GCD of 140, 476, 70, 728Calculator?
Out the numbers 140, 476, 70, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.