Highest Common Factor of 501, 826, 394 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, 826, 394 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 501, 826, 394 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, 826, 394 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, 826, 394 is 1.

HCF(501, 826, 394) = 1

HCF of 501, 826, 394 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, 826, 394 is 1.

Highest Common Factor of 501,826,394 using Euclid's algorithm

Highest Common Factor of 501,826,394 is 1

Step 1: Since 826 > 501, we apply the division lemma to 826 and 501, to get

826 = 501 x 1 + 325

Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 325 and 501, to get

501 = 325 x 1 + 176

Step 3: We consider the new divisor 325 and the new remainder 176, and apply the division lemma to get

325 = 176 x 1 + 149

We consider the new divisor 176 and the new remainder 149,and apply the division lemma to get

176 = 149 x 1 + 27

We consider the new divisor 149 and the new remainder 27,and apply the division lemma to get

149 = 27 x 5 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 501 and 826 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(149,27) = HCF(176,149) = HCF(325,176) = HCF(501,325) = HCF(826,501) .

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

Step 1: Since 394 > 1, we apply the division lemma to 394 and 1, to get

394 = 1 x 394 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 394 is 1

Notice that 1 = HCF(394,1) .

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Frequently Asked Questions on HCF of 501, 826, 394 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, 826, 394?

Answer: HCF of 501, 826, 394 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 501, 826, 394 using Euclid's Algorithm?

Answer: For arbitrary numbers 501, 826, 394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.