Highest Common Factor of 4093, 7089 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 4093, 7089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4093, 7089 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 4093, 7089 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 4093, 7089 is 1.

HCF(4093, 7089) = 1

HCF of 4093, 7089 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 4093, 7089 is 1.

Highest Common Factor of 4093,7089 using Euclid's algorithm

Highest Common Factor of 4093,7089 is 1

Step 1: Since 7089 > 4093, we apply the division lemma to 7089 and 4093, to get

7089 = 4093 x 1 + 2996

Step 2: Since the reminder 4093 ≠ 0, we apply division lemma to 2996 and 4093, to get

4093 = 2996 x 1 + 1097

Step 3: We consider the new divisor 2996 and the new remainder 1097, and apply the division lemma to get

2996 = 1097 x 2 + 802

We consider the new divisor 1097 and the new remainder 802,and apply the division lemma to get

1097 = 802 x 1 + 295

We consider the new divisor 802 and the new remainder 295,and apply the division lemma to get

802 = 295 x 2 + 212

We consider the new divisor 295 and the new remainder 212,and apply the division lemma to get

295 = 212 x 1 + 83

We consider the new divisor 212 and the new remainder 83,and apply the division lemma to get

212 = 83 x 2 + 46

We consider the new divisor 83 and the new remainder 46,and apply the division lemma to get

83 = 46 x 1 + 37

We consider the new divisor 46 and the new remainder 37,and apply the division lemma to get

46 = 37 x 1 + 9

We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get

37 = 9 x 4 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4093 and 7089 is 1

Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(46,37) = HCF(83,46) = HCF(212,83) = HCF(295,212) = HCF(802,295) = HCF(1097,802) = HCF(2996,1097) = HCF(4093,2996) = HCF(7089,4093) .

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Frequently Asked Questions on HCF of 4093, 7089 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 4093, 7089?

Answer: HCF of 4093, 7089 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4093, 7089 using Euclid's Algorithm?

Answer: For arbitrary numbers 4093, 7089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.