GCD of 560, 735, 434 Calculator

Given Input numbers are 560, 735, 434

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (560, 735, 434) = 7.

Given numbers are 560, 735, 434

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 735 are 3 x 5 x 7 x 7

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 7¹

Therefore, GCD of 560, 735, 434 is 7.

Given numbers are 560, 735, 434

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

Apply this formula for all numbers.

Step1:

LCM(560, 735) = 11760

GCD(560, 735) = ( 560 x 735 ) / 11760

= 560 / 735

= 560

Step2:

LCM(35, 434) = 2170

GCD(35, 434) = ( 35 x 434 ) / 2170

= 35 / 434

= 35

So, Greatest Common Divisor of 560, 735, 434 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 468, 584
• GCD of 943, 880, 594
• GCD of 981, 175, 672
• GCD of 946, 785, 559
• GCD of 249, 432, 139

Given numbers are 560, 735, 434
The greatest common divisor of numbers 560, 735, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 735, 434 is 7.

1. What is the GCD of 560, 735, 434?

GCD of given numbers 560, 735, 434 is 7

2. How to calculate the greatest common divisor of 560, 735, 434?

We can find the highest common divisor of 560, 735, 434 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, 735, 434 i.e 7.

3. How can I use the GCD of 560, 735, 434Calculator?

Out the numbers 560, 735, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.