GCF of 1003 and 275

What is the GCF of 1003 and 275?


GCF of 1003 and 275

is 1

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What is the Greatest Common Factor of 1003 and 275? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 1003 and 275 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1003.
    17, 59
  2. Find the prime factors of the second number 275.
    5, 5, 11
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1003.
    1, 17, 59, 1003
  2. Find the factors of the second number 275.
    1, 5, 11, 25, 55, 275
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1003 and 275 is 1.

GCD (Greatest Common Divisor) of 1003 and 275 is 1.

HCF (Highest Common Factor) of 1003 and 275 is 1.

Number GCF LCM
1003 & 270 1 270810
1003 & 271 1 271813
1003 & 272 17 16048
1003 & 273 1 273819
1003 & 274 1 274822
1003 & 275 1 275825
1003 & 276 1 276828
1003 & 277 1 277831
1003 & 278 1 278834
1003 & 279 1 279837
1003 & 280 1 280840