Highest Common Factor of 4781, 8661, 59614 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 4781, 8661, 59614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4781, 8661, 59614 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 4781, 8661, 59614 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 4781, 8661, 59614 is 1.

HCF(4781, 8661, 59614) = 1

HCF of 4781, 8661, 59614 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 4781, 8661, 59614 is 1.

Highest Common Factor of 4781,8661,59614 using Euclid's algorithm

Highest Common Factor of 4781,8661,59614 is 1

Step 1: Since 8661 > 4781, we apply the division lemma to 8661 and 4781, to get

8661 = 4781 x 1 + 3880

Step 2: Since the reminder 4781 ≠ 0, we apply division lemma to 3880 and 4781, to get

4781 = 3880 x 1 + 901

Step 3: We consider the new divisor 3880 and the new remainder 901, and apply the division lemma to get

3880 = 901 x 4 + 276

We consider the new divisor 901 and the new remainder 276,and apply the division lemma to get

901 = 276 x 3 + 73

We consider the new divisor 276 and the new remainder 73,and apply the division lemma to get

276 = 73 x 3 + 57

We consider the new divisor 73 and the new remainder 57,and apply the division lemma to get

73 = 57 x 1 + 16

We consider the new divisor 57 and the new remainder 16,and apply the division lemma to get

57 = 16 x 3 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 4781 and 8661 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(57,16) = HCF(73,57) = HCF(276,73) = HCF(901,276) = HCF(3880,901) = HCF(4781,3880) = HCF(8661,4781) .

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

Step 1: Since 59614 > 1, we apply the division lemma to 59614 and 1, to get

59614 = 1 x 59614 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59614 is 1

Notice that 1 = HCF(59614,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4781, 8661, 59614 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 4781, 8661, 59614?

Answer: HCF of 4781, 8661, 59614 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4781, 8661, 59614 using Euclid's Algorithm?

Answer: For arbitrary numbers 4781, 8661, 59614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.