Highest Common Factor of 3325, 4014 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 3325, 4014 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3325, 4014 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 3325, 4014 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 3325, 4014 is 1.

HCF(3325, 4014) = 1

HCF of 3325, 4014 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 3325, 4014 is 1.

Highest Common Factor of 3325,4014 using Euclid's algorithm

Highest Common Factor of 3325,4014 is 1

Step 1: Since 4014 > 3325, we apply the division lemma to 4014 and 3325, to get

4014 = 3325 x 1 + 689

Step 2: Since the reminder 3325 ≠ 0, we apply division lemma to 689 and 3325, to get

3325 = 689 x 4 + 569

Step 3: We consider the new divisor 689 and the new remainder 569, and apply the division lemma to get

689 = 569 x 1 + 120

We consider the new divisor 569 and the new remainder 120,and apply the division lemma to get

569 = 120 x 4 + 89

We consider the new divisor 120 and the new remainder 89,and apply the division lemma to get

120 = 89 x 1 + 31

We consider the new divisor 89 and the new remainder 31,and apply the division lemma to get

89 = 31 x 2 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 3325 and 4014 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(89,31) = HCF(120,89) = HCF(569,120) = HCF(689,569) = HCF(3325,689) = HCF(4014,3325) .

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Frequently Asked Questions on HCF of 3325, 4014 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 3325, 4014?

Answer: HCF of 3325, 4014 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3325, 4014 using Euclid's Algorithm?

Answer: For arbitrary numbers 3325, 4014 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.