GCD of 109, 220, 975, 940 Calculator

Given Input numbers are 109, 220, 975, 940

In the factoring method, we have to find the divisors of all numbers

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (109, 220, 975, 940) = 1.

Given numbers are 109, 220, 975, 940

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 109, 220, 975, 940

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

Apply this formula for all numbers.

Step1:

LCM(109, 220) = 23980

GCD(109, 220) = ( 109 x 220 ) / 23980

= 109 / 220

= 109

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 109, 220, 975, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 243, 403, 178
• GCD of 260, 814, 868, 788
• GCD of 181, 516, 466, 862
• GCD of 578, 647, 848, 215
• GCD of 788, 685, 567, 647

Given numbers are 109, 220, 975, 940
The greatest common divisor of numbers 109, 220, 975, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 220, 975, 940 is 1.

1. What is the GCD of 109, 220, 975, 940?

GCD of given numbers 109, 220, 975, 940 is 1

2. How to calculate the greatest common divisor of 109, 220, 975, 940?

We can find the highest common divisor of 109, 220, 975, 940 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 109, 220, 975, 940 i.e 1.

3. How can I use the GCD of 109, 220, 975, 940Calculator?

Out the numbers 109, 220, 975, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.