Online GCD Calculator is useful to find the GCD of 900, 770, 740 quickly. Get the easiest ways to solve the greatest common divisor of 900, 770, 740 i.e 10 in different methods as follows.
Given Input numbers are 900, 770, 740
In the factoring method, we have to find the divisors of all numbers
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 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (900, 770, 740) = 10.
Given numbers are 900, 770, 740
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 21 x 51
Therefore, GCD of 900, 770, 740 is 10.
Given numbers are 900, 770, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 770) = 69300
GCD(900, 770) = ( 900 x 770 ) / 69300
= 900 / 770
= 900
Step2:
LCM(10, 740) = 740
GCD(10, 740) = ( 10 x 740 ) / 740
= 10 / 740
= 10
So, Greatest Common Divisor of 900, 770, 740 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 770, 740
The greatest common divisor of numbers 900, 770, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 770, 740 is 10.
1. What is the GCD of 900, 770, 740?
GCD of given numbers 900, 770, 740 is 10
2. How to calculate the greatest common divisor of 900, 770, 740?
We can find the highest common divisor of 900, 770, 740 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 900, 770, 740 i.e 10.
3. How can I use the GCD of 900, 770, 740Calculator?
Out the numbers 900, 770, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.