GCD of 980, 771, 305, 120 Calculator

Given Input numbers are 980, 771, 305, 120

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 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

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

GCD of numbers is the greatest common divisor

So, the GCD (980, 771, 305, 120) = 1.

Given numbers are 980, 771, 305, 120

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 771 are 3 x 257

Prime factors of 305 are 5 x 61

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 980, 771, 305, 120

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(980, 771) = 755580

GCD(980, 771) = ( 980 x 771 ) / 755580

= 980 / 771

= 980

Step2:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 980, 771, 305, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 379, 545, 767
• GCD of 405, 496, 674, 976
• GCD of 517, 114, 974, 279
• GCD of 407, 374, 999, 755
• GCD of 352, 463, 744, 983

Given numbers are 980, 771, 305, 120
The greatest common divisor of numbers 980, 771, 305, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 771, 305, 120 is 1.

1. What is the GCD of 980, 771, 305, 120?

GCD of given numbers 980, 771, 305, 120 is 1

2. How to calculate the greatest common divisor of 980, 771, 305, 120?

We can find the highest common divisor of 980, 771, 305, 120 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, 771, 305, 120 i.e 1.

3. How can I use the GCD of 980, 771, 305, 120Calculator?

Out the numbers 980, 771, 305, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.