GCF of 27 and 45

What is the GCF of 27 and 45?

GCF of 27 and 45

is 9

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Greatest Common Factor

What is the Greatest Common Factor of 27 and 45? 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 27 and 45 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 27.
    3, 3, 3
  2. Find the prime factors of the second number 45.
    3, 3, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    9

Factors Method:

  1. Find the factors of the first number 27.
    1, 3, 9, 27
  2. Find the factors of the second number 45.
    1, 3, 5, 9, 15, 45
  3. The biggest common factor number is the GCF value. Which is,
    9

Number GCF LCM
27 & 40 1 1080
27 & 41 1 1107
27 & 42 3 378
27 & 43 1 1161
27 & 44 1 1188
27 & 45 9 135
27 & 46 1 1242
27 & 47 1 1269
27 & 48 3 432
27 & 49 1 1323
27 & 50 1 1350

GCF (Greatest Common Factor) of 27 and 45 is 9.

GCD (Greatest Common Divisor) of 27 and 45 is 9.

HCF (Highest Common Factor) of 27 and 45 is 9.
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