Highest Common Factor of 9349, 5125 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 9349, 5125 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9349, 5125 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 9349, 5125 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 9349, 5125 is 1.

HCF(9349, 5125) = 1

HCF of 9349, 5125 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 9349, 5125 is 1.

Highest Common Factor of 9349,5125 using Euclid's algorithm

Highest Common Factor of 9349,5125 is 1

Step 1: Since 9349 > 5125, we apply the division lemma to 9349 and 5125, to get

9349 = 5125 x 1 + 4224

Step 2: Since the reminder 5125 ≠ 0, we apply division lemma to 4224 and 5125, to get

5125 = 4224 x 1 + 901

Step 3: We consider the new divisor 4224 and the new remainder 901, and apply the division lemma to get

4224 = 901 x 4 + 620

We consider the new divisor 901 and the new remainder 620,and apply the division lemma to get

901 = 620 x 1 + 281

We consider the new divisor 620 and the new remainder 281,and apply the division lemma to get

620 = 281 x 2 + 58

We consider the new divisor 281 and the new remainder 58,and apply the division lemma to get

281 = 58 x 4 + 49

We consider the new divisor 58 and the new remainder 49,and apply the division lemma to get

58 = 49 x 1 + 9

We consider the new divisor 49 and the new remainder 9,and apply the division lemma to get

49 = 9 x 5 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9349 and 5125 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(49,9) = HCF(58,49) = HCF(281,58) = HCF(620,281) = HCF(901,620) = HCF(4224,901) = HCF(5125,4224) = HCF(9349,5125) .

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Frequently Asked Questions on HCF of 9349, 5125 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 9349, 5125?

Answer: HCF of 9349, 5125 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9349, 5125 using Euclid's Algorithm?

Answer: For arbitrary numbers 9349, 5125 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.