Highest Common Factor of 9658, 4207 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 9658, 4207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9658, 4207 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 9658, 4207 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 9658, 4207 is 1.

HCF(9658, 4207) = 1

HCF of 9658, 4207 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 9658, 4207 is 1.

Highest Common Factor of 9658,4207 using Euclid's algorithm

Highest Common Factor of 9658,4207 is 1

Step 1: Since 9658 > 4207, we apply the division lemma to 9658 and 4207, to get

9658 = 4207 x 2 + 1244

Step 2: Since the reminder 4207 ≠ 0, we apply division lemma to 1244 and 4207, to get

4207 = 1244 x 3 + 475

Step 3: We consider the new divisor 1244 and the new remainder 475, and apply the division lemma to get

1244 = 475 x 2 + 294

We consider the new divisor 475 and the new remainder 294,and apply the division lemma to get

475 = 294 x 1 + 181

We consider the new divisor 294 and the new remainder 181,and apply the division lemma to get

294 = 181 x 1 + 113

We consider the new divisor 181 and the new remainder 113,and apply the division lemma to get

181 = 113 x 1 + 68

We consider the new divisor 113 and the new remainder 68,and apply the division lemma to get

113 = 68 x 1 + 45

We consider the new divisor 68 and the new remainder 45,and apply the division lemma to get

68 = 45 x 1 + 23

We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get

45 = 23 x 1 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9658 and 4207 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(68,45) = HCF(113,68) = HCF(181,113) = HCF(294,181) = HCF(475,294) = HCF(1244,475) = HCF(4207,1244) = HCF(9658,4207) .

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Frequently Asked Questions on HCF of 9658, 4207 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 9658, 4207?

Answer: HCF of 9658, 4207 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9658, 4207 using Euclid's Algorithm?

Answer: For arbitrary numbers 9658, 4207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.