Highest Common Factor of 3402, 9799 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 3402, 9799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3402, 9799 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 3402, 9799 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 3402, 9799 is 1.

HCF(3402, 9799) = 1

HCF of 3402, 9799 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 3402, 9799 is 1.

Highest Common Factor of 3402,9799 using Euclid's algorithm

Highest Common Factor of 3402,9799 is 1

Step 1: Since 9799 > 3402, we apply the division lemma to 9799 and 3402, to get

9799 = 3402 x 2 + 2995

Step 2: Since the reminder 3402 ≠ 0, we apply division lemma to 2995 and 3402, to get

3402 = 2995 x 1 + 407

Step 3: We consider the new divisor 2995 and the new remainder 407, and apply the division lemma to get

2995 = 407 x 7 + 146

We consider the new divisor 407 and the new remainder 146,and apply the division lemma to get

407 = 146 x 2 + 115

We consider the new divisor 146 and the new remainder 115,and apply the division lemma to get

146 = 115 x 1 + 31

We consider the new divisor 115 and the new remainder 31,and apply the division lemma to get

115 = 31 x 3 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 3402 and 9799 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(115,31) = HCF(146,115) = HCF(407,146) = HCF(2995,407) = HCF(3402,2995) = HCF(9799,3402) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 3402, 9799 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 3402, 9799?

Answer: HCF of 3402, 9799 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3402, 9799 using Euclid's Algorithm?

Answer: For arbitrary numbers 3402, 9799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.