Online GCD Calculator is useful to find the GCD of 264, 980, 120, 924 quickly. Get the easiest ways to solve the greatest common divisor of 264, 980, 120, 924 i.e 4 in different methods as follows.
Given Input numbers are 264, 980, 120, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (264, 980, 120, 924) = 4.
Given numbers are 264, 980, 120, 924
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 264, 980, 120, 924 is 4.
Given numbers are 264, 980, 120, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 980) = 64680
GCD(264, 980) = ( 264 x 980 ) / 64680
= 264 / 980
= 264
Step2:
LCM(4, 120) = 120
GCD(4, 120) = ( 4 x 120 ) / 120
= 4 / 120
= 4
Step3:
LCM(4, 924) = 924
GCD(4, 924) = ( 4 x 924 ) / 924
= 4 / 924
= 4
So, Greatest Common Divisor of 264, 980, 120, 924 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 980, 120, 924
The greatest common divisor of numbers 264, 980, 120, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 980, 120, 924 is 4.
1. What is the GCD of 264, 980, 120, 924?
GCD of given numbers 264, 980, 120, 924 is 4
2. How to calculate the greatest common divisor of 264, 980, 120, 924?
We can find the highest common divisor of 264, 980, 120, 924 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 264, 980, 120, 924 i.e 4.
3. How can I use the GCD of 264, 980, 120, 924Calculator?
Out the numbers 264, 980, 120, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.