Online GCD Calculator is useful to find the GCD of 980, 996, 118, 900 quickly. Get the easiest ways to solve the greatest common divisor of 980, 996, 118, 900 i.e 2 in different methods as follows.
Given Input numbers are 980, 996, 118, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
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 (980, 996, 118, 900) = 2.
Given numbers are 980, 996, 118, 900
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 118 are 2 x 59
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 980, 996, 118, 900 is 2.
Given numbers are 980, 996, 118, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 996) = 244020
GCD(980, 996) = ( 980 x 996 ) / 244020
= 980 / 996
= 980
Step2:
LCM(4, 118) = 236
GCD(4, 118) = ( 4 x 118 ) / 236
= 4 / 118
= 4
Step3:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
So, Greatest Common Divisor of 980, 996, 118, 900 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 996, 118, 900
The greatest common divisor of numbers 980, 996, 118, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 996, 118, 900 is 2.
1. What is the GCD of 980, 996, 118, 900?
GCD of given numbers 980, 996, 118, 900 is 2
2. How to calculate the greatest common divisor of 980, 996, 118, 900?
We can find the highest common divisor of 980, 996, 118, 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 980, 996, 118, 900 i.e 2.
3. How can I use the GCD of 980, 996, 118, 900Calculator?
Out the numbers 980, 996, 118, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.