Highest Common Factor of 9934, 6065 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, 6065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9934, 6065 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, 6065 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, 6065 is 1.

HCF(9934, 6065) = 1

HCF of 9934, 6065 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, 6065 is 1.

Highest Common Factor of 9934,6065 using Euclid's algorithm

Highest Common Factor of 9934,6065 is 1

Step 1: Since 9934 > 6065, we apply the division lemma to 9934 and 6065, to get

9934 = 6065 x 1 + 3869

Step 2: Since the reminder 6065 ≠ 0, we apply division lemma to 3869 and 6065, to get

6065 = 3869 x 1 + 2196

Step 3: We consider the new divisor 3869 and the new remainder 2196, and apply the division lemma to get

3869 = 2196 x 1 + 1673

We consider the new divisor 2196 and the new remainder 1673,and apply the division lemma to get

2196 = 1673 x 1 + 523

We consider the new divisor 1673 and the new remainder 523,and apply the division lemma to get

1673 = 523 x 3 + 104

We consider the new divisor 523 and the new remainder 104,and apply the division lemma to get

523 = 104 x 5 + 3

We consider the new divisor 104 and the new remainder 3,and apply the division lemma to get

104 = 3 x 34 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9934 and 6065 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(104,3) = HCF(523,104) = HCF(1673,523) = HCF(2196,1673) = HCF(3869,2196) = HCF(6065,3869) = HCF(9934,6065) .

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Frequently Asked Questions on HCF of 9934, 6065 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, 6065?

Answer: HCF of 9934, 6065 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9934, 6065 using Euclid's Algorithm?

Answer: For arbitrary numbers 9934, 6065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.