GCD of 945, 896, 980, 189 Calculator

Given Input numbers are 945, 896, 980, 189

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (945, 896, 980, 189) = 7.

Given numbers are 945, 896, 980, 189

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 945, 896, 980, 189 is 7.

Given numbers are 945, 896, 980, 189

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

Apply this formula for all numbers.

Step1:

LCM(945, 896) = 120960

GCD(945, 896) = ( 945 x 896 ) / 120960

= 945 / 896

= 945

Step2:

LCM(7, 980) = 980

GCD(7, 980) = ( 7 x 980 ) / 980

= 7 / 980

= 7

Step3:

LCM(7, 189) = 189

GCD(7, 189) = ( 7 x 189 ) / 189

= 7 / 189

= 7

So, Greatest Common Divisor of 945, 896, 980, 189 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 304, 269, 847
• GCD of 775, 879, 711, 277
• GCD of 416, 566, 491, 629
• GCD of 255, 527, 935, 619
• GCD of 482, 941, 641, 708

Given numbers are 945, 896, 980, 189
The greatest common divisor of numbers 945, 896, 980, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 896, 980, 189 is 7.

1. What is the GCD of 945, 896, 980, 189?

GCD of given numbers 945, 896, 980, 189 is 7

2. How to calculate the greatest common divisor of 945, 896, 980, 189?

We can find the highest common divisor of 945, 896, 980, 189 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 945, 896, 980, 189 i.e 7.

3. How can I use the GCD of 945, 896, 980, 189Calculator?

Out the numbers 945, 896, 980, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.