Highest Common Factor of 7447, 5531 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 7447, 5531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7447, 5531 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 7447, 5531 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 7447, 5531 is 1.

HCF(7447, 5531) = 1

HCF of 7447, 5531 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 7447, 5531 is 1.

Highest Common Factor of 7447,5531 using Euclid's algorithm

Highest Common Factor of 7447,5531 is 1

Step 1: Since 7447 > 5531, we apply the division lemma to 7447 and 5531, to get

7447 = 5531 x 1 + 1916

Step 2: Since the reminder 5531 ≠ 0, we apply division lemma to 1916 and 5531, to get

5531 = 1916 x 2 + 1699

Step 3: We consider the new divisor 1916 and the new remainder 1699, and apply the division lemma to get

1916 = 1699 x 1 + 217

We consider the new divisor 1699 and the new remainder 217,and apply the division lemma to get

1699 = 217 x 7 + 180

We consider the new divisor 217 and the new remainder 180,and apply the division lemma to get

217 = 180 x 1 + 37

We consider the new divisor 180 and the new remainder 37,and apply the division lemma to get

180 = 37 x 4 + 32

We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get

37 = 32 x 1 + 5

We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get

32 = 5 x 6 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7447 and 5531 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(180,37) = HCF(217,180) = HCF(1699,217) = HCF(1916,1699) = HCF(5531,1916) = HCF(7447,5531) .

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Frequently Asked Questions on HCF of 7447, 5531 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 7447, 5531?

Answer: HCF of 7447, 5531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7447, 5531 using Euclid's Algorithm?

Answer: For arbitrary numbers 7447, 5531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.