Highest Common Factor of 6919, 9784 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 6919, 9784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6919, 9784 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 6919, 9784 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 6919, 9784 is 1.

HCF(6919, 9784) = 1

HCF of 6919, 9784 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 6919, 9784 is 1.

Highest Common Factor of 6919,9784 using Euclid's algorithm

Highest Common Factor of 6919,9784 is 1

Step 1: Since 9784 > 6919, we apply the division lemma to 9784 and 6919, to get

9784 = 6919 x 1 + 2865

Step 2: Since the reminder 6919 ≠ 0, we apply division lemma to 2865 and 6919, to get

6919 = 2865 x 2 + 1189

Step 3: We consider the new divisor 2865 and the new remainder 1189, and apply the division lemma to get

2865 = 1189 x 2 + 487

We consider the new divisor 1189 and the new remainder 487,and apply the division lemma to get

1189 = 487 x 2 + 215

We consider the new divisor 487 and the new remainder 215,and apply the division lemma to get

487 = 215 x 2 + 57

We consider the new divisor 215 and the new remainder 57,and apply the division lemma to get

215 = 57 x 3 + 44

We consider the new divisor 57 and the new remainder 44,and apply the division lemma to get

57 = 44 x 1 + 13

We consider the new divisor 44 and the new remainder 13,and apply the division lemma to get

44 = 13 x 3 + 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 6919 and 9784 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(57,44) = HCF(215,57) = HCF(487,215) = HCF(1189,487) = HCF(2865,1189) = HCF(6919,2865) = HCF(9784,6919) .

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Frequently Asked Questions on HCF of 6919, 9784 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 6919, 9784?

Answer: HCF of 6919, 9784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6919, 9784 using Euclid's Algorithm?

Answer: For arbitrary numbers 6919, 9784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.