Highest Common Factor of 3885, 3047 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 3885, 3047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3885, 3047 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 3885, 3047 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 3885, 3047 is 1.

HCF(3885, 3047) = 1

HCF of 3885, 3047 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 3885, 3047 is 1.

Highest Common Factor of 3885,3047 using Euclid's algorithm

Highest Common Factor of 3885,3047 is 1

Step 1: Since 3885 > 3047, we apply the division lemma to 3885 and 3047, to get

3885 = 3047 x 1 + 838

Step 2: Since the reminder 3047 ≠ 0, we apply division lemma to 838 and 3047, to get

3047 = 838 x 3 + 533

Step 3: We consider the new divisor 838 and the new remainder 533, and apply the division lemma to get

838 = 533 x 1 + 305

We consider the new divisor 533 and the new remainder 305,and apply the division lemma to get

533 = 305 x 1 + 228

We consider the new divisor 305 and the new remainder 228,and apply the division lemma to get

305 = 228 x 1 + 77

We consider the new divisor 228 and the new remainder 77,and apply the division lemma to get

228 = 77 x 2 + 74

We consider the new divisor 77 and the new remainder 74,and apply the division lemma to get

77 = 74 x 1 + 3

We consider the new divisor 74 and the new remainder 3,and apply the division lemma to get

74 = 3 x 24 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3885 and 3047 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(74,3) = HCF(77,74) = HCF(228,77) = HCF(305,228) = HCF(533,305) = HCF(838,533) = HCF(3047,838) = HCF(3885,3047) .

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Frequently Asked Questions on HCF of 3885, 3047 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 3885, 3047?

Answer: HCF of 3885, 3047 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3885, 3047 using Euclid's Algorithm?

Answer: For arbitrary numbers 3885, 3047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.