GCD of 980, 120, 614, 307 Calculator

Given Input numbers are 980, 120, 614, 307

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 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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

GCD of numbers is the greatest common divisor

So, the GCD (980, 120, 614, 307) = 1.

Given numbers are 980, 120, 614, 307

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 614 are 2 x 307

Prime factors of 307 are 307

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

Given numbers are 980, 120, 614, 307

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

Apply this formula for all numbers.

Step1:

LCM(980, 120) = 5880

GCD(980, 120) = ( 980 x 120 ) / 5880

= 980 / 120

= 980

Step2:

LCM(20, 614) = 6140

GCD(20, 614) = ( 20 x 614 ) / 6140

= 20 / 614

= 20

Step3:

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

= 2 / 307

= 2

So, Greatest Common Divisor of 980, 120, 614, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 696, 447, 624
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• GCD of 154, 885, 509, 760
• GCD of 297, 294, 907, 609
• GCD of 589, 328, 206, 989

Given numbers are 980, 120, 614, 307
The greatest common divisor of numbers 980, 120, 614, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 120, 614, 307 is 1.

1. What is the GCD of 980, 120, 614, 307?

GCD of given numbers 980, 120, 614, 307 is 1

2. How to calculate the greatest common divisor of 980, 120, 614, 307?

We can find the highest common divisor of 980, 120, 614, 307 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, 120, 614, 307 i.e 1.

3. How can I use the GCD of 980, 120, 614, 307Calculator?

Out the numbers 980, 120, 614, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.