Highest Common Factor of 4306, 8265, 47709 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 4306, 8265, 47709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4306, 8265, 47709 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 4306, 8265, 47709 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 4306, 8265, 47709 is 1.

HCF(4306, 8265, 47709) = 1

HCF of 4306, 8265, 47709 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 4306, 8265, 47709 is 1.

Highest Common Factor of 4306,8265,47709 using Euclid's algorithm

Highest Common Factor of 4306,8265,47709 is 1

Step 1: Since 8265 > 4306, we apply the division lemma to 8265 and 4306, to get

8265 = 4306 x 1 + 3959

Step 2: Since the reminder 4306 ≠ 0, we apply division lemma to 3959 and 4306, to get

4306 = 3959 x 1 + 347

Step 3: We consider the new divisor 3959 and the new remainder 347, and apply the division lemma to get

3959 = 347 x 11 + 142

We consider the new divisor 347 and the new remainder 142,and apply the division lemma to get

347 = 142 x 2 + 63

We consider the new divisor 142 and the new remainder 63,and apply the division lemma to get

142 = 63 x 2 + 16

We consider the new divisor 63 and the new remainder 16,and apply the division lemma to get

63 = 16 x 3 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4306 and 8265 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(63,16) = HCF(142,63) = HCF(347,142) = HCF(3959,347) = HCF(4306,3959) = HCF(8265,4306) .

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

Step 1: Since 47709 > 1, we apply the division lemma to 47709 and 1, to get

47709 = 1 x 47709 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47709 is 1

Notice that 1 = HCF(47709,1) .

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Frequently Asked Questions on HCF of 4306, 8265, 47709 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 4306, 8265, 47709?

Answer: HCF of 4306, 8265, 47709 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4306, 8265, 47709 using Euclid's Algorithm?

Answer: For arbitrary numbers 4306, 8265, 47709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.