Highest Common Factor of 424, 826, 787 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 424, 826, 787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 424, 826, 787 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 424, 826, 787 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 424, 826, 787 is 1.

HCF(424, 826, 787) = 1

HCF of 424, 826, 787 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 424, 826, 787 is 1.

Highest Common Factor of 424,826,787 using Euclid's algorithm

Highest Common Factor of 424,826,787 is 1

Step 1: Since 826 > 424, we apply the division lemma to 826 and 424, to get

826 = 424 x 1 + 402

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 402 and 424, to get

424 = 402 x 1 + 22

Step 3: We consider the new divisor 402 and the new remainder 22, and apply the division lemma to get

402 = 22 x 18 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 424 and 826 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(402,22) = HCF(424,402) = HCF(826,424) .

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

Step 1: Since 787 > 2, we apply the division lemma to 787 and 2, to get

787 = 2 x 393 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 787 is 1

Notice that 1 = HCF(2,1) = HCF(787,2) .

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Frequently Asked Questions on HCF of 424, 826, 787 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 424, 826, 787?

Answer: HCF of 424, 826, 787 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 424, 826, 787 using Euclid's Algorithm?

Answer: For arbitrary numbers 424, 826, 787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.