Highest Common Factor of 9934, 3007 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 9934, 3007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9934, 3007 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 9934, 3007 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 9934, 3007 is 1.

HCF(9934, 3007) = 1

HCF of 9934, 3007 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 9934, 3007 is 1.

Highest Common Factor of 9934,3007 using Euclid's algorithm

Highest Common Factor of 9934,3007 is 1

Step 1: Since 9934 > 3007, we apply the division lemma to 9934 and 3007, to get

9934 = 3007 x 3 + 913

Step 2: Since the reminder 3007 ≠ 0, we apply division lemma to 913 and 3007, to get

3007 = 913 x 3 + 268

Step 3: We consider the new divisor 913 and the new remainder 268, and apply the division lemma to get

913 = 268 x 3 + 109

We consider the new divisor 268 and the new remainder 109,and apply the division lemma to get

268 = 109 x 2 + 50

We consider the new divisor 109 and the new remainder 50,and apply the division lemma to get

109 = 50 x 2 + 9

We consider the new divisor 50 and the new remainder 9,and apply the division lemma to get

50 = 9 x 5 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 9934 and 3007 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(50,9) = HCF(109,50) = HCF(268,109) = HCF(913,268) = HCF(3007,913) = HCF(9934,3007) .

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Frequently Asked Questions on HCF of 9934, 3007 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 9934, 3007?

Answer: HCF of 9934, 3007 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9934, 3007 using Euclid's Algorithm?

Answer: For arbitrary numbers 9934, 3007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.