Highest Common Factor of 9895, 4463 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 9895, 4463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9895, 4463 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 9895, 4463 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 9895, 4463 is 1.

HCF(9895, 4463) = 1

HCF of 9895, 4463 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 9895, 4463 is 1.

Highest Common Factor of 9895,4463 using Euclid's algorithm

Highest Common Factor of 9895,4463 is 1

Step 1: Since 9895 > 4463, we apply the division lemma to 9895 and 4463, to get

9895 = 4463 x 2 + 969

Step 2: Since the reminder 4463 ≠ 0, we apply division lemma to 969 and 4463, to get

4463 = 969 x 4 + 587

Step 3: We consider the new divisor 969 and the new remainder 587, and apply the division lemma to get

969 = 587 x 1 + 382

We consider the new divisor 587 and the new remainder 382,and apply the division lemma to get

587 = 382 x 1 + 205

We consider the new divisor 382 and the new remainder 205,and apply the division lemma to get

382 = 205 x 1 + 177

We consider the new divisor 205 and the new remainder 177,and apply the division lemma to get

205 = 177 x 1 + 28

We consider the new divisor 177 and the new remainder 28,and apply the division lemma to get

177 = 28 x 6 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9895 and 4463 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(177,28) = HCF(205,177) = HCF(382,205) = HCF(587,382) = HCF(969,587) = HCF(4463,969) = HCF(9895,4463) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 9895, 4463 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 9895, 4463?

Answer: HCF of 9895, 4463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9895, 4463 using Euclid's Algorithm?

Answer: For arbitrary numbers 9895, 4463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.