Highest Common Factor of 443, 280, 477 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 443, 280, 477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 443, 280, 477 is 1 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 443, 280, 477 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 443, 280, 477 is 1.

HCF(443, 280, 477) = 1

HCF of 443, 280, 477 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 443, 280, 477 is 1.

Highest Common Factor of 443,280,477 using Euclid's algorithm

Highest Common Factor of 443,280,477 is 1

Step 1: Since 443 > 280, we apply the division lemma to 443 and 280, to get

443 = 280 x 1 + 163

Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 163 and 280, to get

280 = 163 x 1 + 117

Step 3: We consider the new divisor 163 and the new remainder 117, and apply the division lemma to get

163 = 117 x 1 + 46

We consider the new divisor 117 and the new remainder 46,and apply the division lemma to get

117 = 46 x 2 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 443 and 280 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(117,46) = HCF(163,117) = HCF(280,163) = HCF(443,280) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 477 > 1, we apply the division lemma to 477 and 1, to get

477 = 1 x 477 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 477 is 1

Notice that 1 = HCF(477,1) .

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Frequently Asked Questions on HCF of 443, 280, 477 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 443, 280, 477?

Answer: HCF of 443, 280, 477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 443, 280, 477 using Euclid's Algorithm?

Answer: For arbitrary numbers 443, 280, 477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.