Highest Common Factor of 4093, 7312 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, 7312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4093, 7312 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, 7312 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, 7312 is 1.

HCF(4093, 7312) = 1

HCF of 4093, 7312 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, 7312 is 1.

Highest Common Factor of 4093,7312 using Euclid's algorithm

Highest Common Factor of 4093,7312 is 1

Step 1: Since 7312 > 4093, we apply the division lemma to 7312 and 4093, to get

7312 = 4093 x 1 + 3219

Step 2: Since the reminder 4093 ≠ 0, we apply division lemma to 3219 and 4093, to get

4093 = 3219 x 1 + 874

Step 3: We consider the new divisor 3219 and the new remainder 874, and apply the division lemma to get

3219 = 874 x 3 + 597

We consider the new divisor 874 and the new remainder 597,and apply the division lemma to get

874 = 597 x 1 + 277

We consider the new divisor 597 and the new remainder 277,and apply the division lemma to get

597 = 277 x 2 + 43

We consider the new divisor 277 and the new remainder 43,and apply the division lemma to get

277 = 43 x 6 + 19

We consider the new divisor 43 and the new remainder 19,and apply the division lemma to get

43 = 19 x 2 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4093 and 7312 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(43,19) = HCF(277,43) = HCF(597,277) = HCF(874,597) = HCF(3219,874) = HCF(4093,3219) = HCF(7312,4093) .

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Frequently Asked Questions on HCF of 4093, 7312 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, 7312?

Answer: HCF of 4093, 7312 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4093, 7312 using Euclid's Algorithm?

Answer: For arbitrary numbers 4093, 7312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.