Online GCD Calculator is useful to find the GCD of 756, 700, 602 quickly. Get the easiest ways to solve the greatest common divisor of 756, 700, 602 i.e 14 in different methods as follows.
Given Input numbers are 756, 700, 602
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
GCD of numbers is the greatest common divisor
So, the GCD (756, 700, 602) = 14.
Given numbers are 756, 700, 602
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 602 are 2 x 7 x 43
The highest common occurrence is 21 x 71
Therefore, GCD of 756, 700, 602 is 14.
Given numbers are 756, 700, 602
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 700) = 18900
GCD(756, 700) = ( 756 x 700 ) / 18900
= 756 / 700
= 756
Step2:
LCM(28, 602) = 1204
GCD(28, 602) = ( 28 x 602 ) / 1204
= 28 / 602
= 28
So, Greatest Common Divisor of 756, 700, 602 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 700, 602
The greatest common divisor of numbers 756, 700, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 700, 602 is 14.
1. What is the GCD of 756, 700, 602?
GCD of given numbers 756, 700, 602 is 14
2. How to calculate the greatest common divisor of 756, 700, 602?
We can find the highest common divisor of 756, 700, 602 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 756, 700, 602 i.e 14.
3. How can I use the GCD of 756, 700, 602Calculator?
Out the numbers 756, 700, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.