Highest Common Factor of 7813, 3437 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 7813, 3437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7813, 3437 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 7813, 3437 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 7813, 3437 is 1.

HCF(7813, 3437) = 1

HCF of 7813, 3437 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 7813, 3437 is 1.

Highest Common Factor of 7813,3437 using Euclid's algorithm

Highest Common Factor of 7813,3437 is 1

Step 1: Since 7813 > 3437, we apply the division lemma to 7813 and 3437, to get

7813 = 3437 x 2 + 939

Step 2: Since the reminder 3437 ≠ 0, we apply division lemma to 939 and 3437, to get

3437 = 939 x 3 + 620

Step 3: We consider the new divisor 939 and the new remainder 620, and apply the division lemma to get

939 = 620 x 1 + 319

We consider the new divisor 620 and the new remainder 319,and apply the division lemma to get

620 = 319 x 1 + 301

We consider the new divisor 319 and the new remainder 301,and apply the division lemma to get

319 = 301 x 1 + 18

We consider the new divisor 301 and the new remainder 18,and apply the division lemma to get

301 = 18 x 16 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 7813 and 3437 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(301,18) = HCF(319,301) = HCF(620,319) = HCF(939,620) = HCF(3437,939) = HCF(7813,3437) .

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Frequently Asked Questions on HCF of 7813, 3437 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 7813, 3437?

Answer: HCF of 7813, 3437 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7813, 3437 using Euclid's Algorithm?

Answer: For arbitrary numbers 7813, 3437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.