Highest Common Factor of 4060, 5735 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 4060, 5735 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 4060, 5735 is 5 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 4060, 5735 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 4060, 5735 is 5.

HCF(4060, 5735) = 5

HCF of 4060, 5735 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4060, 5735 is 5.

Highest Common Factor of 4060,5735 using Euclid's algorithm

Highest Common Factor of 4060,5735 is 5

Step 1: Since 5735 > 4060, we apply the division lemma to 5735 and 4060, to get

5735 = 4060 x 1 + 1675

Step 2: Since the reminder 4060 ≠ 0, we apply division lemma to 1675 and 4060, to get

4060 = 1675 x 2 + 710

Step 3: We consider the new divisor 1675 and the new remainder 710, and apply the division lemma to get

1675 = 710 x 2 + 255

We consider the new divisor 710 and the new remainder 255,and apply the division lemma to get

710 = 255 x 2 + 200

We consider the new divisor 255 and the new remainder 200,and apply the division lemma to get

255 = 200 x 1 + 55

We consider the new divisor 200 and the new remainder 55,and apply the division lemma to get

200 = 55 x 3 + 35

We consider the new divisor 55 and the new remainder 35,and apply the division lemma to get

55 = 35 x 1 + 20

We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get

35 = 20 x 1 + 15

We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get

20 = 15 x 1 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4060 and 5735 is 5

Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(55,35) = HCF(200,55) = HCF(255,200) = HCF(710,255) = HCF(1675,710) = HCF(4060,1675) = HCF(5735,4060) .

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Frequently Asked Questions on HCF of 4060, 5735 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 4060, 5735?

Answer: HCF of 4060, 5735 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4060, 5735 using Euclid's Algorithm?

Answer: For arbitrary numbers 4060, 5735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.