Online GCD Calculator is useful to find the GCD of 976, 220, 740, 340 quickly. Get the easiest ways to solve the greatest common divisor of 976, 220, 740, 340 i.e 4 in different methods as follows.
Given Input numbers are 976, 220, 740, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (976, 220, 740, 340) = 4.
Given numbers are 976, 220, 740, 340
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 22
Therefore, GCD of 976, 220, 740, 340 is 4.
Given numbers are 976, 220, 740, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 220) = 53680
GCD(976, 220) = ( 976 x 220 ) / 53680
= 976 / 220
= 976
Step2:
LCM(4, 740) = 740
GCD(4, 740) = ( 4 x 740 ) / 740
= 4 / 740
= 4
Step3:
LCM(4, 340) = 340
GCD(4, 340) = ( 4 x 340 ) / 340
= 4 / 340
= 4
So, Greatest Common Divisor of 976, 220, 740, 340 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 220, 740, 340
The greatest common divisor of numbers 976, 220, 740, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 220, 740, 340 is 4.
1. What is the GCD of 976, 220, 740, 340?
GCD of given numbers 976, 220, 740, 340 is 4
2. How to calculate the greatest common divisor of 976, 220, 740, 340?
We can find the highest common divisor of 976, 220, 740, 340 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 976, 220, 740, 340 i.e 4.
3. How can I use the GCD of 976, 220, 740, 340Calculator?
Out the numbers 976, 220, 740, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.