Highest Common Factor of 1627, 7681 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 1627, 7681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1627, 7681 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 1627, 7681 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 1627, 7681 is 1.

HCF(1627, 7681) = 1

HCF of 1627, 7681 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 1627, 7681 is 1.

Highest Common Factor of 1627,7681 using Euclid's algorithm

Highest Common Factor of 1627,7681 is 1

Step 1: Since 7681 > 1627, we apply the division lemma to 7681 and 1627, to get

7681 = 1627 x 4 + 1173

Step 2: Since the reminder 1627 ≠ 0, we apply division lemma to 1173 and 1627, to get

1627 = 1173 x 1 + 454

Step 3: We consider the new divisor 1173 and the new remainder 454, and apply the division lemma to get

1173 = 454 x 2 + 265

We consider the new divisor 454 and the new remainder 265,and apply the division lemma to get

454 = 265 x 1 + 189

We consider the new divisor 265 and the new remainder 189,and apply the division lemma to get

265 = 189 x 1 + 76

We consider the new divisor 189 and the new remainder 76,and apply the division lemma to get

189 = 76 x 2 + 37

We consider the new divisor 76 and the new remainder 37,and apply the division lemma to get

76 = 37 x 2 + 2

We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get

37 = 2 x 18 + 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 1627 and 7681 is 1

Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(76,37) = HCF(189,76) = HCF(265,189) = HCF(454,265) = HCF(1173,454) = HCF(1627,1173) = HCF(7681,1627) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1627, 7681 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 1627, 7681?

Answer: HCF of 1627, 7681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1627, 7681 using Euclid's Algorithm?

Answer: For arbitrary numbers 1627, 7681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.