GCD of 120, 938, 709, 448 Calculator

Given Input numbers are 120, 938, 709, 448

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

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 938, 709, 448) = 1.

Given numbers are 120, 938, 709, 448

The list of prime factors of all numbers are

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 709 are 709

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 120, 938, 709, 448

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

Apply this formula for all numbers.

Step1:

LCM(120, 938) = 56280

GCD(120, 938) = ( 120 x 938 ) / 56280

= 120 / 938

= 120

Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 120, 938, 709, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 215, 103, 640
• GCD of 934, 226, 541, 671
• GCD of 960, 557, 662, 967
• GCD of 353, 230, 669, 165
• GCD of 182, 175, 995, 247

Given numbers are 120, 938, 709, 448
The greatest common divisor of numbers 120, 938, 709, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 938, 709, 448 is 1.

1. What is the GCD of 120, 938, 709, 448?

GCD of given numbers 120, 938, 709, 448 is 1

2. How to calculate the greatest common divisor of 120, 938, 709, 448?

We can find the highest common divisor of 120, 938, 709, 448 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 120, 938, 709, 448 i.e 1.

3. How can I use the GCD of 120, 938, 709, 448Calculator?

Out the numbers 120, 938, 709, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.