Online GCD Calculator is useful to find the GCD of 975, 980, 735, 880 quickly. Get the easiest ways to solve the greatest common divisor of 975, 980, 735, 880 i.e 5 in different methods as follows.
Given Input numbers are 975, 980, 735, 880
In the factoring method, we have to find the divisors of all numbers
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (975, 980, 735, 880) = 5.
Given numbers are 975, 980, 735, 880
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 975, 980, 735, 880 is 5.
Given numbers are 975, 980, 735, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 980) = 191100
GCD(975, 980) = ( 975 x 980 ) / 191100
= 975 / 980
= 975
Step2:
LCM(5, 735) = 735
GCD(5, 735) = ( 5 x 735 ) / 735
= 5 / 735
= 5
Step3:
LCM(5, 880) = 880
GCD(5, 880) = ( 5 x 880 ) / 880
= 5 / 880
= 5
So, Greatest Common Divisor of 975, 980, 735, 880 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 980, 735, 880
The greatest common divisor of numbers 975, 980, 735, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 980, 735, 880 is 5.
1. What is the GCD of 975, 980, 735, 880?
GCD of given numbers 975, 980, 735, 880 is 5
2. How to calculate the greatest common divisor of 975, 980, 735, 880?
We can find the highest common divisor of 975, 980, 735, 880 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 975, 980, 735, 880 i.e 5.
3. How can I use the GCD of 975, 980, 735, 880Calculator?
Out the numbers 975, 980, 735, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.