Highest Common Factor of 3825, 2347 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 3825, 2347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3825, 2347 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 3825, 2347 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 3825, 2347 is 1.

HCF(3825, 2347) = 1

HCF of 3825, 2347 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 3825, 2347 is 1.

Highest Common Factor of 3825,2347 using Euclid's algorithm

Highest Common Factor of 3825,2347 is 1

Step 1: Since 3825 > 2347, we apply the division lemma to 3825 and 2347, to get

3825 = 2347 x 1 + 1478

Step 2: Since the reminder 2347 ≠ 0, we apply division lemma to 1478 and 2347, to get

2347 = 1478 x 1 + 869

Step 3: We consider the new divisor 1478 and the new remainder 869, and apply the division lemma to get

1478 = 869 x 1 + 609

We consider the new divisor 869 and the new remainder 609,and apply the division lemma to get

869 = 609 x 1 + 260

We consider the new divisor 609 and the new remainder 260,and apply the division lemma to get

609 = 260 x 2 + 89

We consider the new divisor 260 and the new remainder 89,and apply the division lemma to get

260 = 89 x 2 + 82

We consider the new divisor 89 and the new remainder 82,and apply the division lemma to get

89 = 82 x 1 + 7

We consider the new divisor 82 and the new remainder 7,and apply the division lemma to get

82 = 7 x 11 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3825 and 2347 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(82,7) = HCF(89,82) = HCF(260,89) = HCF(609,260) = HCF(869,609) = HCF(1478,869) = HCF(2347,1478) = HCF(3825,2347) .

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Frequently Asked Questions on HCF of 3825, 2347 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 3825, 2347?

Answer: HCF of 3825, 2347 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3825, 2347 using Euclid's Algorithm?

Answer: For arbitrary numbers 3825, 2347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.