Highest Common Factor of 4486, 1210, 23801 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 4486, 1210, 23801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4486, 1210, 23801 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 4486, 1210, 23801 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 4486, 1210, 23801 is 1.

HCF(4486, 1210, 23801) = 1

HCF of 4486, 1210, 23801 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 4486, 1210, 23801 is 1.

Highest Common Factor of 4486,1210,23801 using Euclid's algorithm

Highest Common Factor of 4486,1210,23801 is 1

Step 1: Since 4486 > 1210, we apply the division lemma to 4486 and 1210, to get

4486 = 1210 x 3 + 856

Step 2: Since the reminder 1210 ≠ 0, we apply division lemma to 856 and 1210, to get

1210 = 856 x 1 + 354

Step 3: We consider the new divisor 856 and the new remainder 354, and apply the division lemma to get

856 = 354 x 2 + 148

We consider the new divisor 354 and the new remainder 148,and apply the division lemma to get

354 = 148 x 2 + 58

We consider the new divisor 148 and the new remainder 58,and apply the division lemma to get

148 = 58 x 2 + 32

We consider the new divisor 58 and the new remainder 32,and apply the division lemma to get

58 = 32 x 1 + 26

We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get

32 = 26 x 1 + 6

We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get

26 = 6 x 4 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4486 and 1210 is 2

Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(58,32) = HCF(148,58) = HCF(354,148) = HCF(856,354) = HCF(1210,856) = HCF(4486,1210) .

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

Step 1: Since 23801 > 2, we apply the division lemma to 23801 and 2, to get

23801 = 2 x 11900 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 23801 is 1

Notice that 1 = HCF(2,1) = HCF(23801,2) .

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Frequently Asked Questions on HCF of 4486, 1210, 23801 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 4486, 1210, 23801?

Answer: HCF of 4486, 1210, 23801 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4486, 1210, 23801 using Euclid's Algorithm?

Answer: For arbitrary numbers 4486, 1210, 23801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.