Highest Common Factor of 4855, 9081 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 4855, 9081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4855, 9081 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 4855, 9081 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 4855, 9081 is 1.

HCF(4855, 9081) = 1

HCF of 4855, 9081 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 4855, 9081 is 1.

Highest Common Factor of 4855,9081 using Euclid's algorithm

Highest Common Factor of 4855,9081 is 1

Step 1: Since 9081 > 4855, we apply the division lemma to 9081 and 4855, to get

9081 = 4855 x 1 + 4226

Step 2: Since the reminder 4855 ≠ 0, we apply division lemma to 4226 and 4855, to get

4855 = 4226 x 1 + 629

Step 3: We consider the new divisor 4226 and the new remainder 629, and apply the division lemma to get

4226 = 629 x 6 + 452

We consider the new divisor 629 and the new remainder 452,and apply the division lemma to get

629 = 452 x 1 + 177

We consider the new divisor 452 and the new remainder 177,and apply the division lemma to get

452 = 177 x 2 + 98

We consider the new divisor 177 and the new remainder 98,and apply the division lemma to get

177 = 98 x 1 + 79

We consider the new divisor 98 and the new remainder 79,and apply the division lemma to get

98 = 79 x 1 + 19

We consider the new divisor 79 and the new remainder 19,and apply the division lemma to get

79 = 19 x 4 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 4855 and 9081 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(79,19) = HCF(98,79) = HCF(177,98) = HCF(452,177) = HCF(629,452) = HCF(4226,629) = HCF(4855,4226) = HCF(9081,4855) .

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Frequently Asked Questions on HCF of 4855, 9081 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 4855, 9081?

Answer: HCF of 4855, 9081 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4855, 9081 using Euclid's Algorithm?

Answer: For arbitrary numbers 4855, 9081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.