Highest Common Factor of 1743, 7928 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 1743, 7928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1743, 7928 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 1743, 7928 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 1743, 7928 is 1.

HCF(1743, 7928) = 1

HCF of 1743, 7928 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 1743, 7928 is 1.

Highest Common Factor of 1743,7928 using Euclid's algorithm

Highest Common Factor of 1743,7928 is 1

Step 1: Since 7928 > 1743, we apply the division lemma to 7928 and 1743, to get

7928 = 1743 x 4 + 956

Step 2: Since the reminder 1743 ≠ 0, we apply division lemma to 956 and 1743, to get

1743 = 956 x 1 + 787

Step 3: We consider the new divisor 956 and the new remainder 787, and apply the division lemma to get

956 = 787 x 1 + 169

We consider the new divisor 787 and the new remainder 169,and apply the division lemma to get

787 = 169 x 4 + 111

We consider the new divisor 169 and the new remainder 111,and apply the division lemma to get

169 = 111 x 1 + 58

We consider the new divisor 111 and the new remainder 58,and apply the division lemma to get

111 = 58 x 1 + 53

We consider the new divisor 58 and the new remainder 53,and apply the division lemma to get

58 = 53 x 1 + 5

We consider the new divisor 53 and the new remainder 5,and apply the division lemma to get

53 = 5 x 10 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 1743 and 7928 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(53,5) = HCF(58,53) = HCF(111,58) = HCF(169,111) = HCF(787,169) = HCF(956,787) = HCF(1743,956) = HCF(7928,1743) .

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Frequently Asked Questions on HCF of 1743, 7928 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 1743, 7928?

Answer: HCF of 1743, 7928 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1743, 7928 using Euclid's Algorithm?

Answer: For arbitrary numbers 1743, 7928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.