GCD of 740, 920, 560, 448 Calculator

Given Input numbers are 740, 920, 560, 448

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 (740, 920, 560, 448) = 4.

Given numbers are 740, 920, 560, 448

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 740, 920, 560, 448 is 4.

Given numbers are 740, 920, 560, 448

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

Apply this formula for all numbers.

Step1:

LCM(740, 920) = 34040

GCD(740, 920) = ( 740 x 920 ) / 34040

= 740 / 920

= 740

Step2:

LCM(20, 560) = 560

GCD(20, 560) = ( 20 x 560 ) / 560

= 20 / 560

= 20

Step3:

LCM(20, 448) = 2240

GCD(20, 448) = ( 20 x 448 ) / 2240

= 20 / 448

= 20

So, Greatest Common Divisor of 740, 920, 560, 448 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 105, 793, 260
• GCD of 878, 479, 571, 737
• GCD of 121, 156, 735, 610
• GCD of 109, 913, 181, 652
• GCD of 899, 200, 216, 127

Given numbers are 740, 920, 560, 448
The greatest common divisor of numbers 740, 920, 560, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 920, 560, 448 is 4.

1. What is the GCD of 740, 920, 560, 448?

GCD of given numbers 740, 920, 560, 448 is 4

2. How to calculate the greatest common divisor of 740, 920, 560, 448?

We can find the highest common divisor of 740, 920, 560, 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 740, 920, 560, 448 i.e 4.

3. How can I use the GCD of 740, 920, 560, 448Calculator?

Out the numbers 740, 920, 560, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.