Highest Common Factor of 3534, 4717 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 3534, 4717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3534, 4717 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 3534, 4717 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 3534, 4717 is 1.

HCF(3534, 4717) = 1

HCF of 3534, 4717 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 3534, 4717 is 1.

Highest Common Factor of 3534,4717 using Euclid's algorithm

Highest Common Factor of 3534,4717 is 1

Step 1: Since 4717 > 3534, we apply the division lemma to 4717 and 3534, to get

4717 = 3534 x 1 + 1183

Step 2: Since the reminder 3534 ≠ 0, we apply division lemma to 1183 and 3534, to get

3534 = 1183 x 2 + 1168

Step 3: We consider the new divisor 1183 and the new remainder 1168, and apply the division lemma to get

1183 = 1168 x 1 + 15

We consider the new divisor 1168 and the new remainder 15,and apply the division lemma to get

1168 = 15 x 77 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 3534 and 4717 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(1168,15) = HCF(1183,1168) = HCF(3534,1183) = HCF(4717,3534) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3534, 4717 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 3534, 4717?

Answer: HCF of 3534, 4717 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3534, 4717 using Euclid's Algorithm?

Answer: For arbitrary numbers 3534, 4717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.