Online GCD Calculator is useful to find the GCD of 702, 900, 88, 272 quickly. Get the easiest ways to solve the greatest common divisor of 702, 900, 88, 272 i.e 2 in different methods as follows.
Given Input numbers are 702, 900, 88, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 88 :
The positive integer divisors of 88 that completely divides 88 are.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (702, 900, 88, 272) = 2.
Given numbers are 702, 900, 88, 272
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 88 are 2 x 2 x 2 x 11
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 702, 900, 88, 272 is 2.
Given numbers are 702, 900, 88, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 900) = 35100
GCD(702, 900) = ( 702 x 900 ) / 35100
= 702 / 900
= 702
Step2:
LCM(18, 88) = 792
GCD(18, 88) = ( 18 x 88 ) / 792
= 18 / 88
= 18
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 702, 900, 88, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 900, 88, 272
The greatest common divisor of numbers 702, 900, 88, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 900, 88, 272 is 2.
1. What is the GCD of 702, 900, 88, 272?
GCD of given numbers 702, 900, 88, 272 is 2
2. How to calculate the greatest common divisor of 702, 900, 88, 272?
We can find the highest common divisor of 702, 900, 88, 272 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 702, 900, 88, 272 i.e 2.
3. How can I use the GCD of 702, 900, 88, 272Calculator?
Out the numbers 702, 900, 88, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.