Highest Common Factor of 9424, 4117 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 9424, 4117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9424, 4117 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 9424, 4117 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 9424, 4117 is 1.

HCF(9424, 4117) = 1

HCF of 9424, 4117 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 9424, 4117 is 1.

Highest Common Factor of 9424,4117 using Euclid's algorithm

Highest Common Factor of 9424,4117 is 1

Step 1: Since 9424 > 4117, we apply the division lemma to 9424 and 4117, to get

9424 = 4117 x 2 + 1190

Step 2: Since the reminder 4117 ≠ 0, we apply division lemma to 1190 and 4117, to get

4117 = 1190 x 3 + 547

Step 3: We consider the new divisor 1190 and the new remainder 547, and apply the division lemma to get

1190 = 547 x 2 + 96

We consider the new divisor 547 and the new remainder 96,and apply the division lemma to get

547 = 96 x 5 + 67

We consider the new divisor 96 and the new remainder 67,and apply the division lemma to get

96 = 67 x 1 + 29

We consider the new divisor 67 and the new remainder 29,and apply the division lemma to get

67 = 29 x 2 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9424 and 4117 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(67,29) = HCF(96,67) = HCF(547,96) = HCF(1190,547) = HCF(4117,1190) = HCF(9424,4117) .

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Frequently Asked Questions on HCF of 9424, 4117 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 9424, 4117?

Answer: HCF of 9424, 4117 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9424, 4117 using Euclid's Algorithm?

Answer: For arbitrary numbers 9424, 4117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.