GCD of 756, 350, 661, 431 Calculator

Given Input numbers are 756, 350, 661, 431

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (756, 350, 661, 431) = 1.

Given numbers are 756, 350, 661, 431

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 661 are 661

Prime factors of 431 are 431

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

Given numbers are 756, 350, 661, 431

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

Apply this formula for all numbers.

Step1:

LCM(756, 350) = 18900

GCD(756, 350) = ( 756 x 350 ) / 18900

= 756 / 350

= 756

Step2:

LCM(14, 661) = 9254

GCD(14, 661) = ( 14 x 661 ) / 9254

= 14 / 661

= 14

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 756, 350, 661, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 111, 631, 221
• GCD of 379, 965, 715, 646
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• GCD of 485, 668, 458, 470
• GCD of 736, 136, 712, 594

Given numbers are 756, 350, 661, 431
The greatest common divisor of numbers 756, 350, 661, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 350, 661, 431 is 1.

1. What is the GCD of 756, 350, 661, 431?

GCD of given numbers 756, 350, 661, 431 is 1

2. How to calculate the greatest common divisor of 756, 350, 661, 431?

We can find the highest common divisor of 756, 350, 661, 431 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 756, 350, 661, 431 i.e 1.

3. How can I use the GCD of 756, 350, 661, 431Calculator?

Out the numbers 756, 350, 661, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.