Highest Common Factor of 7843, 6075 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 7843, 6075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7843, 6075 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 7843, 6075 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 7843, 6075 is 1.

HCF(7843, 6075) = 1

HCF of 7843, 6075 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 7843, 6075 is 1.

Highest Common Factor of 7843,6075 using Euclid's algorithm

Highest Common Factor of 7843,6075 is 1

Step 1: Since 7843 > 6075, we apply the division lemma to 7843 and 6075, to get

7843 = 6075 x 1 + 1768

Step 2: Since the reminder 6075 ≠ 0, we apply division lemma to 1768 and 6075, to get

6075 = 1768 x 3 + 771

Step 3: We consider the new divisor 1768 and the new remainder 771, and apply the division lemma to get

1768 = 771 x 2 + 226

We consider the new divisor 771 and the new remainder 226,and apply the division lemma to get

771 = 226 x 3 + 93

We consider the new divisor 226 and the new remainder 93,and apply the division lemma to get

226 = 93 x 2 + 40

We consider the new divisor 93 and the new remainder 40,and apply the division lemma to get

93 = 40 x 2 + 13

We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get

40 = 13 x 3 + 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 7843 and 6075 is 1

Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(93,40) = HCF(226,93) = HCF(771,226) = HCF(1768,771) = HCF(6075,1768) = HCF(7843,6075) .

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Frequently Asked Questions on HCF of 7843, 6075 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 7843, 6075?

Answer: HCF of 7843, 6075 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7843, 6075 using Euclid's Algorithm?

Answer: For arbitrary numbers 7843, 6075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.