Highest Common Factor of 3235, 5759 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 3235, 5759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3235, 5759 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 3235, 5759 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 3235, 5759 is 1.

HCF(3235, 5759) = 1

HCF of 3235, 5759 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 3235, 5759 is 1.

Highest Common Factor of 3235,5759 using Euclid's algorithm

Highest Common Factor of 3235,5759 is 1

Step 1: Since 5759 > 3235, we apply the division lemma to 5759 and 3235, to get

5759 = 3235 x 1 + 2524

Step 2: Since the reminder 3235 ≠ 0, we apply division lemma to 2524 and 3235, to get

3235 = 2524 x 1 + 711

Step 3: We consider the new divisor 2524 and the new remainder 711, and apply the division lemma to get

2524 = 711 x 3 + 391

We consider the new divisor 711 and the new remainder 391,and apply the division lemma to get

711 = 391 x 1 + 320

We consider the new divisor 391 and the new remainder 320,and apply the division lemma to get

391 = 320 x 1 + 71

We consider the new divisor 320 and the new remainder 71,and apply the division lemma to get

320 = 71 x 4 + 36

We consider the new divisor 71 and the new remainder 36,and apply the division lemma to get

71 = 36 x 1 + 35

We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get

36 = 35 x 1 + 1

We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get

35 = 1 x 35 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3235 and 5759 is 1

Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(71,36) = HCF(320,71) = HCF(391,320) = HCF(711,391) = HCF(2524,711) = HCF(3235,2524) = HCF(5759,3235) .

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Frequently Asked Questions on HCF of 3235, 5759 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 3235, 5759?

Answer: HCF of 3235, 5759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3235, 5759 using Euclid's Algorithm?

Answer: For arbitrary numbers 3235, 5759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.