Online GCD Calculator is useful to find the GCD of 160, 746, 272, 980 quickly. Get the easiest ways to solve the greatest common divisor of 160, 746, 272, 980 i.e 2 in different methods as follows.
Given Input numbers are 160, 746, 272, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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
GCD of numbers is the greatest common divisor
So, the GCD (160, 746, 272, 980) = 2.
Given numbers are 160, 746, 272, 980
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 746 are 2 x 373
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 160, 746, 272, 980 is 2.
Given numbers are 160, 746, 272, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 746) = 59680
GCD(160, 746) = ( 160 x 746 ) / 59680
= 160 / 746
= 160
Step2:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
Step3:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
So, Greatest Common Divisor of 160, 746, 272, 980 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 746, 272, 980
The greatest common divisor of numbers 160, 746, 272, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 746, 272, 980 is 2.
1. What is the GCD of 160, 746, 272, 980?
GCD of given numbers 160, 746, 272, 980 is 2
2. How to calculate the greatest common divisor of 160, 746, 272, 980?
We can find the highest common divisor of 160, 746, 272, 980 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 160, 746, 272, 980 i.e 2.
3. How can I use the GCD of 160, 746, 272, 980Calculator?
Out the numbers 160, 746, 272, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.