Highest Common Factor of 5123, 4171 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 5123, 4171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5123, 4171 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 5123, 4171 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 5123, 4171 is 1.

HCF(5123, 4171) = 1

HCF of 5123, 4171 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 5123, 4171 is 1.

Highest Common Factor of 5123,4171 using Euclid's algorithm

Highest Common Factor of 5123,4171 is 1

Step 1: Since 5123 > 4171, we apply the division lemma to 5123 and 4171, to get

5123 = 4171 x 1 + 952

Step 2: Since the reminder 4171 ≠ 0, we apply division lemma to 952 and 4171, to get

4171 = 952 x 4 + 363

Step 3: We consider the new divisor 952 and the new remainder 363, and apply the division lemma to get

952 = 363 x 2 + 226

We consider the new divisor 363 and the new remainder 226,and apply the division lemma to get

363 = 226 x 1 + 137

We consider the new divisor 226 and the new remainder 137,and apply the division lemma to get

226 = 137 x 1 + 89

We consider the new divisor 137 and the new remainder 89,and apply the division lemma to get

137 = 89 x 1 + 48

We consider the new divisor 89 and the new remainder 48,and apply the division lemma to get

89 = 48 x 1 + 41

We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get

48 = 41 x 1 + 7

We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get

41 = 7 x 5 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5123 and 4171 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(89,48) = HCF(137,89) = HCF(226,137) = HCF(363,226) = HCF(952,363) = HCF(4171,952) = HCF(5123,4171) .

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Frequently Asked Questions on HCF of 5123, 4171 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 5123, 4171?

Answer: HCF of 5123, 4171 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5123, 4171 using Euclid's Algorithm?

Answer: For arbitrary numbers 5123, 4171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.