Highest Common Factor of 9935, 4288 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 9935, 4288 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9935, 4288 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 9935, 4288 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 9935, 4288 is 1.

HCF(9935, 4288) = 1

HCF of 9935, 4288 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 9935, 4288 is 1.

Highest Common Factor of 9935,4288 using Euclid's algorithm

Highest Common Factor of 9935,4288 is 1

Step 1: Since 9935 > 4288, we apply the division lemma to 9935 and 4288, to get

9935 = 4288 x 2 + 1359

Step 2: Since the reminder 4288 ≠ 0, we apply division lemma to 1359 and 4288, to get

4288 = 1359 x 3 + 211

Step 3: We consider the new divisor 1359 and the new remainder 211, and apply the division lemma to get

1359 = 211 x 6 + 93

We consider the new divisor 211 and the new remainder 93,and apply the division lemma to get

211 = 93 x 2 + 25

We consider the new divisor 93 and the new remainder 25,and apply the division lemma to get

93 = 25 x 3 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 9935 and 4288 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(93,25) = HCF(211,93) = HCF(1359,211) = HCF(4288,1359) = HCF(9935,4288) .

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Frequently Asked Questions on HCF of 9935, 4288 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 9935, 4288?

Answer: HCF of 9935, 4288 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9935, 4288 using Euclid's Algorithm?

Answer: For arbitrary numbers 9935, 4288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.