GCD of 560, 608, 680, 740 Calculator

Given Input numbers are 560, 608, 680, 740

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

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 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

GCD of numbers is the greatest common divisor

So, the GCD (560, 608, 680, 740) = 4.

Given numbers are 560, 608, 680, 740

The list of prime factors of all numbers are

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

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

The highest common occurrence is 2²

Therefore, GCD of 560, 608, 680, 740 is 4.

Given numbers are 560, 608, 680, 740

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

Apply this formula for all numbers.

Step1:

LCM(560, 608) = 21280

GCD(560, 608) = ( 560 x 608 ) / 21280

= 560 / 608

= 560

Step2:

LCM(16, 680) = 1360

GCD(16, 680) = ( 16 x 680 ) / 1360

= 16 / 680

= 16

Step3:

LCM(8, 740) = 1480

GCD(8, 740) = ( 8 x 740 ) / 1480

= 8 / 740

= 8

So, Greatest Common Divisor of 560, 608, 680, 740 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 155, 477, 520
• GCD of 992, 504, 397, 476
• GCD of 944, 338, 547, 234
• GCD of 633, 956, 548, 163
• GCD of 406, 725, 450, 396

Given numbers are 560, 608, 680, 740
The greatest common divisor of numbers 560, 608, 680, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 608, 680, 740 is 4.

1. What is the GCD of 560, 608, 680, 740?

GCD of given numbers 560, 608, 680, 740 is 4

2. How to calculate the greatest common divisor of 560, 608, 680, 740?

We can find the highest common divisor of 560, 608, 680, 740 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 560, 608, 680, 740 i.e 4.

3. How can I use the GCD of 560, 608, 680, 740Calculator?

Out the numbers 560, 608, 680, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.