Highest Common Factor of 4282, 3521 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 4282, 3521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4282, 3521 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 4282, 3521 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 4282, 3521 is 1.

HCF(4282, 3521) = 1

HCF of 4282, 3521 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 4282, 3521 is 1.

Highest Common Factor of 4282,3521 using Euclid's algorithm

Highest Common Factor of 4282,3521 is 1

Step 1: Since 4282 > 3521, we apply the division lemma to 4282 and 3521, to get

4282 = 3521 x 1 + 761

Step 2: Since the reminder 3521 ≠ 0, we apply division lemma to 761 and 3521, to get

3521 = 761 x 4 + 477

Step 3: We consider the new divisor 761 and the new remainder 477, and apply the division lemma to get

761 = 477 x 1 + 284

We consider the new divisor 477 and the new remainder 284,and apply the division lemma to get

477 = 284 x 1 + 193

We consider the new divisor 284 and the new remainder 193,and apply the division lemma to get

284 = 193 x 1 + 91

We consider the new divisor 193 and the new remainder 91,and apply the division lemma to get

193 = 91 x 2 + 11

We consider the new divisor 91 and the new remainder 11,and apply the division lemma to get

91 = 11 x 8 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 4282 and 3521 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(91,11) = HCF(193,91) = HCF(284,193) = HCF(477,284) = HCF(761,477) = HCF(3521,761) = HCF(4282,3521) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4282, 3521 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 4282, 3521?

Answer: HCF of 4282, 3521 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4282, 3521 using Euclid's Algorithm?

Answer: For arbitrary numbers 4282, 3521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.