GCD of 270, 242, 776, 991 Calculator

Given Input numbers are 270, 242, 776, 991

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (270, 242, 776, 991) = 1.

Given numbers are 270, 242, 776, 991

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 242 are 2 x 11 x 11

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 991 are 991

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

Given numbers are 270, 242, 776, 991

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

Apply this formula for all numbers.

Step1:

LCM(270, 242) = 32670

GCD(270, 242) = ( 270 x 242 ) / 32670

= 270 / 242

= 270

Step2:

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

= 2 / 776

= 2

Step3:

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

= 2 / 991

= 2

So, Greatest Common Divisor of 270, 242, 776, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 738, 306, 732
• GCD of 978, 588, 252, 534
• GCD of 653, 820, 857, 965
• GCD of 205, 158, 192, 330
• GCD of 628, 187, 210, 738

Given numbers are 270, 242, 776, 991
The greatest common divisor of numbers 270, 242, 776, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 242, 776, 991 is 1.

1. What is the GCD of 270, 242, 776, 991?

GCD of given numbers 270, 242, 776, 991 is 1

2. How to calculate the greatest common divisor of 270, 242, 776, 991?

We can find the highest common divisor of 270, 242, 776, 991 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 270, 242, 776, 991 i.e 1.

3. How can I use the GCD of 270, 242, 776, 991Calculator?

Out the numbers 270, 242, 776, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.