Highest Common Factor of 6821, 4986, 24049 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 6821, 4986, 24049 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6821, 4986, 24049 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 6821, 4986, 24049 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 6821, 4986, 24049 is 1.

HCF(6821, 4986, 24049) = 1

HCF of 6821, 4986, 24049 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 6821, 4986, 24049 is 1.

Highest Common Factor of 6821,4986,24049 using Euclid's algorithm

Highest Common Factor of 6821,4986,24049 is 1

Step 1: Since 6821 > 4986, we apply the division lemma to 6821 and 4986, to get

6821 = 4986 x 1 + 1835

Step 2: Since the reminder 4986 ≠ 0, we apply division lemma to 1835 and 4986, to get

4986 = 1835 x 2 + 1316

Step 3: We consider the new divisor 1835 and the new remainder 1316, and apply the division lemma to get

1835 = 1316 x 1 + 519

We consider the new divisor 1316 and the new remainder 519,and apply the division lemma to get

1316 = 519 x 2 + 278

We consider the new divisor 519 and the new remainder 278,and apply the division lemma to get

519 = 278 x 1 + 241

We consider the new divisor 278 and the new remainder 241,and apply the division lemma to get

278 = 241 x 1 + 37

We consider the new divisor 241 and the new remainder 37,and apply the division lemma to get

241 = 37 x 6 + 19

We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get

37 = 19 x 1 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6821 and 4986 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(241,37) = HCF(278,241) = HCF(519,278) = HCF(1316,519) = HCF(1835,1316) = HCF(4986,1835) = HCF(6821,4986) .

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

Step 1: Since 24049 > 1, we apply the division lemma to 24049 and 1, to get

24049 = 1 x 24049 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24049 is 1

Notice that 1 = HCF(24049,1) .

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Frequently Asked Questions on HCF of 6821, 4986, 24049 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 6821, 4986, 24049?

Answer: HCF of 6821, 4986, 24049 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6821, 4986, 24049 using Euclid's Algorithm?

Answer: For arbitrary numbers 6821, 4986, 24049 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.