Highest Common Factor of 447, 297 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 447, 297 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 447, 297 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 447, 297 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 447, 297 is 3.

HCF(447, 297) = 3

HCF of 447, 297 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 447, 297 is 3.

Highest Common Factor of 447,297 using Euclid's algorithm

Highest Common Factor of 447,297 is 3

Step 1: Since 447 > 297, we apply the division lemma to 447 and 297, to get

447 = 297 x 1 + 150

Step 2: Since the reminder 297 ≠ 0, we apply division lemma to 150 and 297, to get

297 = 150 x 1 + 147

Step 3: We consider the new divisor 150 and the new remainder 147, and apply the division lemma to get

150 = 147 x 1 + 3

We consider the new divisor 147 and the new remainder 3, and apply the division lemma to get

147 = 3 x 49 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 447 and 297 is 3

Notice that 3 = HCF(147,3) = HCF(150,147) = HCF(297,150) = HCF(447,297) .

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Frequently Asked Questions on HCF of 447, 297 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 447, 297?

Answer: HCF of 447, 297 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 447, 297 using Euclid's Algorithm?

Answer: For arbitrary numbers 447, 297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.