Highest Common Factor of 3430, 9659, 44209 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 3430, 9659, 44209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3430, 9659, 44209 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 3430, 9659, 44209 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 3430, 9659, 44209 is 1.

HCF(3430, 9659, 44209) = 1

HCF of 3430, 9659, 44209 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 3430, 9659, 44209 is 1.

Highest Common Factor of 3430,9659,44209 using Euclid's algorithm

Highest Common Factor of 3430,9659,44209 is 1

Step 1: Since 9659 > 3430, we apply the division lemma to 9659 and 3430, to get

9659 = 3430 x 2 + 2799

Step 2: Since the reminder 3430 ≠ 0, we apply division lemma to 2799 and 3430, to get

3430 = 2799 x 1 + 631

Step 3: We consider the new divisor 2799 and the new remainder 631, and apply the division lemma to get

2799 = 631 x 4 + 275

We consider the new divisor 631 and the new remainder 275,and apply the division lemma to get

631 = 275 x 2 + 81

We consider the new divisor 275 and the new remainder 81,and apply the division lemma to get

275 = 81 x 3 + 32

We consider the new divisor 81 and the new remainder 32,and apply the division lemma to get

81 = 32 x 2 + 17

We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get

32 = 17 x 1 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 3430 and 9659 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(81,32) = HCF(275,81) = HCF(631,275) = HCF(2799,631) = HCF(3430,2799) = HCF(9659,3430) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 44209 > 1, we apply the division lemma to 44209 and 1, to get

44209 = 1 x 44209 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44209 is 1

Notice that 1 = HCF(44209,1) .

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Frequently Asked Questions on HCF of 3430, 9659, 44209 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 3430, 9659, 44209?

Answer: HCF of 3430, 9659, 44209 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3430, 9659, 44209 using Euclid's Algorithm?

Answer: For arbitrary numbers 3430, 9659, 44209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.