Highest Common Factor of 1046, 4471 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 1046, 4471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1046, 4471 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 1046, 4471 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 1046, 4471 is 1.

HCF(1046, 4471) = 1

HCF of 1046, 4471 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 1046, 4471 is 1.

Highest Common Factor of 1046,4471 using Euclid's algorithm

Highest Common Factor of 1046,4471 is 1

Step 1: Since 4471 > 1046, we apply the division lemma to 4471 and 1046, to get

4471 = 1046 x 4 + 287

Step 2: Since the reminder 1046 ≠ 0, we apply division lemma to 287 and 1046, to get

1046 = 287 x 3 + 185

Step 3: We consider the new divisor 287 and the new remainder 185, and apply the division lemma to get

287 = 185 x 1 + 102

We consider the new divisor 185 and the new remainder 102,and apply the division lemma to get

185 = 102 x 1 + 83

We consider the new divisor 102 and the new remainder 83,and apply the division lemma to get

102 = 83 x 1 + 19

We consider the new divisor 83 and the new remainder 19,and apply the division lemma to get

83 = 19 x 4 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 1046 and 4471 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(83,19) = HCF(102,83) = HCF(185,102) = HCF(287,185) = HCF(1046,287) = HCF(4471,1046) .

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Frequently Asked Questions on HCF of 1046, 4471 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 1046, 4471?

Answer: HCF of 1046, 4471 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1046, 4471 using Euclid's Algorithm?

Answer: For arbitrary numbers 1046, 4471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.