Highest Common Factor of 7551, 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 7551, 9784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7551, 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 7551, 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 7551, 9784 is 1.

HCF(7551, 9784) = 1

HCF of 7551, 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 7551, 9784 is 1.

Highest Common Factor of 7551,9784 using Euclid's algorithm

Highest Common Factor of 7551,9784 is 1

Step 1: Since 9784 > 7551, we apply the division lemma to 9784 and 7551, to get

9784 = 7551 x 1 + 2233

Step 2: Since the reminder 7551 ≠ 0, we apply division lemma to 2233 and 7551, to get

7551 = 2233 x 3 + 852

Step 3: We consider the new divisor 2233 and the new remainder 852, and apply the division lemma to get

2233 = 852 x 2 + 529

We consider the new divisor 852 and the new remainder 529,and apply the division lemma to get

852 = 529 x 1 + 323

We consider the new divisor 529 and the new remainder 323,and apply the division lemma to get

529 = 323 x 1 + 206

We consider the new divisor 323 and the new remainder 206,and apply the division lemma to get

323 = 206 x 1 + 117

We consider the new divisor 206 and the new remainder 117,and apply the division lemma to get

206 = 117 x 1 + 89

We consider the new divisor 117 and the new remainder 89,and apply the division lemma to get

117 = 89 x 1 + 28

We consider the new divisor 89 and the new remainder 28,and apply the division lemma to get

89 = 28 x 3 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 7551 and 9784 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(89,28) = HCF(117,89) = HCF(206,117) = HCF(323,206) = HCF(529,323) = HCF(852,529) = HCF(2233,852) = HCF(7551,2233) = HCF(9784,7551) .

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Frequently Asked Questions on HCF of 7551, 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 7551, 9784?

Answer: HCF of 7551, 9784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7551, 9784 using Euclid's Algorithm?

Answer: For arbitrary numbers 7551, 9784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.