Highest Common Factor of 501, 334, 383 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 501, 334, 383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 501, 334, 383 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 501, 334, 383 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 501, 334, 383 is 1.

HCF(501, 334, 383) = 1

HCF of 501, 334, 383 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 501, 334, 383 is 1.

Highest Common Factor of 501,334,383 using Euclid's algorithm

Highest Common Factor of 501,334,383 is 1

Step 1: Since 501 > 334, we apply the division lemma to 501 and 334, to get

501 = 334 x 1 + 167

Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 167 and 334, to get

334 = 167 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 167, the HCF of 501 and 334 is 167

Notice that 167 = HCF(334,167) = HCF(501,334) .

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

Step 1: Since 383 > 167, we apply the division lemma to 383 and 167, to get

383 = 167 x 2 + 49

Step 2: Since the reminder 167 ≠ 0, we apply division lemma to 49 and 167, to get

167 = 49 x 3 + 20

Step 3: We consider the new divisor 49 and the new remainder 20, and apply the division lemma to get

49 = 20 x 2 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 167 and 383 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(167,49) = HCF(383,167) .

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Frequently Asked Questions on HCF of 501, 334, 383 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 501, 334, 383?

Answer: HCF of 501, 334, 383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 501, 334, 383 using Euclid's Algorithm?

Answer: For arbitrary numbers 501, 334, 383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.