Highest Common Factor of 9626, 4893, 85725 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 9626, 4893, 85725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9626, 4893, 85725 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 9626, 4893, 85725 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 9626, 4893, 85725 is 1.

HCF(9626, 4893, 85725) = 1

HCF of 9626, 4893, 85725 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 9626, 4893, 85725 is 1.

Highest Common Factor of 9626,4893,85725 using Euclid's algorithm

Highest Common Factor of 9626,4893,85725 is 1

Step 1: Since 9626 > 4893, we apply the division lemma to 9626 and 4893, to get

9626 = 4893 x 1 + 4733

Step 2: Since the reminder 4893 ≠ 0, we apply division lemma to 4733 and 4893, to get

4893 = 4733 x 1 + 160

Step 3: We consider the new divisor 4733 and the new remainder 160, and apply the division lemma to get

4733 = 160 x 29 + 93

We consider the new divisor 160 and the new remainder 93,and apply the division lemma to get

160 = 93 x 1 + 67

We consider the new divisor 93 and the new remainder 67,and apply the division lemma to get

93 = 67 x 1 + 26

We consider the new divisor 67 and the new remainder 26,and apply the division lemma to get

67 = 26 x 2 + 15

We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get

26 = 15 x 1 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9626 and 4893 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(67,26) = HCF(93,67) = HCF(160,93) = HCF(4733,160) = HCF(4893,4733) = HCF(9626,4893) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 85725 > 1, we apply the division lemma to 85725 and 1, to get

85725 = 1 x 85725 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85725 is 1

Notice that 1 = HCF(85725,1) .

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Frequently Asked Questions on HCF of 9626, 4893, 85725 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 9626, 4893, 85725?

Answer: HCF of 9626, 4893, 85725 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9626, 4893, 85725 using Euclid's Algorithm?

Answer: For arbitrary numbers 9626, 4893, 85725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.