GCD of 802, 921, 948, 314 Calculator

Given Input numbers are 802, 921, 948, 314

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (802, 921, 948, 314) = 1.

Given numbers are 802, 921, 948, 314

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 921 are 3 x 307

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 314 are 2 x 157

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

Given numbers are 802, 921, 948, 314

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

Apply this formula for all numbers.

Step1:

LCM(802, 921) = 738642

GCD(802, 921) = ( 802 x 921 ) / 738642

= 802 / 921

= 802

Step2:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 802, 921, 948, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 411, 782, 648
• GCD of 357, 574, 883, 354
• GCD of 788, 133, 780, 153
• GCD of 587, 178, 297, 733
• GCD of 879, 292, 198, 617

Given numbers are 802, 921, 948, 314
The greatest common divisor of numbers 802, 921, 948, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 921, 948, 314 is 1.

1. What is the GCD of 802, 921, 948, 314?

GCD of given numbers 802, 921, 948, 314 is 1

2. How to calculate the greatest common divisor of 802, 921, 948, 314?

We can find the highest common divisor of 802, 921, 948, 314 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 802, 921, 948, 314 i.e 1.

3. How can I use the GCD of 802, 921, 948, 314Calculator?

Out the numbers 802, 921, 948, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.