Highest Common Factor of 496, 919, 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 496, 919, 477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 496, 919, 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 496, 919, 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 496, 919, 477 is 1.

HCF(496, 919, 477) = 1

HCF of 496, 919, 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 496, 919, 477 is 1.

Highest Common Factor of 496,919,477 using Euclid's algorithm

Highest Common Factor of 496,919,477 is 1

Step 1: Since 919 > 496, we apply the division lemma to 919 and 496, to get

919 = 496 x 1 + 423

Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 423 and 496, to get

496 = 423 x 1 + 73

Step 3: We consider the new divisor 423 and the new remainder 73, and apply the division lemma to get

423 = 73 x 5 + 58

We consider the new divisor 73 and the new remainder 58,and apply the division lemma to get

73 = 58 x 1 + 15

We consider the new divisor 58 and the new remainder 15,and apply the division lemma to get

58 = 15 x 3 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 496 and 919 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(58,15) = HCF(73,58) = HCF(423,73) = HCF(496,423) = HCF(919,496) .

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 496, 919, 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 496, 919, 477?

Answer: HCF of 496, 919, 477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 496, 919, 477 using Euclid's Algorithm?

Answer: For arbitrary numbers 496, 919, 477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.