Highest Common Factor of 4761, 9465, 19294 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 4761, 9465, 19294 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4761, 9465, 19294 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 4761, 9465, 19294 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 4761, 9465, 19294 is 1.

HCF(4761, 9465, 19294) = 1

HCF of 4761, 9465, 19294 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 4761, 9465, 19294 is 1.

Highest Common Factor of 4761,9465,19294 using Euclid's algorithm

Highest Common Factor of 4761,9465,19294 is 1

Step 1: Since 9465 > 4761, we apply the division lemma to 9465 and 4761, to get

9465 = 4761 x 1 + 4704

Step 2: Since the reminder 4761 ≠ 0, we apply division lemma to 4704 and 4761, to get

4761 = 4704 x 1 + 57

Step 3: We consider the new divisor 4704 and the new remainder 57, and apply the division lemma to get

4704 = 57 x 82 + 30

We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get

57 = 30 x 1 + 27

We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get

30 = 27 x 1 + 3

We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get

27 = 3 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4761 and 9465 is 3

Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(4704,57) = HCF(4761,4704) = HCF(9465,4761) .

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

Step 1: Since 19294 > 3, we apply the division lemma to 19294 and 3, to get

19294 = 3 x 6431 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 19294 is 1

Notice that 1 = HCF(3,1) = HCF(19294,3) .

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Frequently Asked Questions on HCF of 4761, 9465, 19294 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 4761, 9465, 19294?

Answer: HCF of 4761, 9465, 19294 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4761, 9465, 19294 using Euclid's Algorithm?

Answer: For arbitrary numbers 4761, 9465, 19294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.