Online GCD Calculator is useful to find the GCD of 970, 998, 740, 900 quickly. Get the easiest ways to solve the greatest common divisor of 970, 998, 740, 900 i.e 2 in different methods as follows.
Given Input numbers are 970, 998, 740, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
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
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
GCD of numbers is the greatest common divisor
So, the GCD (970, 998, 740, 900) = 2.
Given numbers are 970, 998, 740, 900
The list of prime factors of all numbers are
Prime factors of 970 are 2 x 5 x 97
Prime factors of 998 are 2 x 499
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 970, 998, 740, 900 is 2.
Given numbers are 970, 998, 740, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(970, 998) = 484030
GCD(970, 998) = ( 970 x 998 ) / 484030
= 970 / 998
= 970
Step2:
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
= 2 / 740
= 2
Step3:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
So, Greatest Common Divisor of 970, 998, 740, 900 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 970, 998, 740, 900
The greatest common divisor of numbers 970, 998, 740, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 998, 740, 900 is 2.
1. What is the GCD of 970, 998, 740, 900?
GCD of given numbers 970, 998, 740, 900 is 2
2. How to calculate the greatest common divisor of 970, 998, 740, 900?
We can find the highest common divisor of 970, 998, 740, 900 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 970, 998, 740, 900 i.e 2.
3. How can I use the GCD of 970, 998, 740, 900Calculator?
Out the numbers 970, 998, 740, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.