Highest Common Factor of 3563, 8900, 94609 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 3563, 8900, 94609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3563, 8900, 94609 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 3563, 8900, 94609 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 3563, 8900, 94609 is 1.

HCF(3563, 8900, 94609) = 1

HCF of 3563, 8900, 94609 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 3563, 8900, 94609 is 1.

Highest Common Factor of 3563,8900,94609 using Euclid's algorithm

Highest Common Factor of 3563,8900,94609 is 1

Step 1: Since 8900 > 3563, we apply the division lemma to 8900 and 3563, to get

8900 = 3563 x 2 + 1774

Step 2: Since the reminder 3563 ≠ 0, we apply division lemma to 1774 and 3563, to get

3563 = 1774 x 2 + 15

Step 3: We consider the new divisor 1774 and the new remainder 15, and apply the division lemma to get

1774 = 15 x 118 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3563 and 8900 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(1774,15) = HCF(3563,1774) = HCF(8900,3563) .

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

Step 1: Since 94609 > 1, we apply the division lemma to 94609 and 1, to get

94609 = 1 x 94609 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94609 is 1

Notice that 1 = HCF(94609,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3563, 8900, 94609 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 3563, 8900, 94609?

Answer: HCF of 3563, 8900, 94609 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3563, 8900, 94609 using Euclid's Algorithm?

Answer: For arbitrary numbers 3563, 8900, 94609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.