Highest Common Factor of 4145, 3330, 14962 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 4145, 3330, 14962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4145, 3330, 14962 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 4145, 3330, 14962 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 4145, 3330, 14962 is 1.

HCF(4145, 3330, 14962) = 1

HCF of 4145, 3330, 14962 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 4145, 3330, 14962 is 1.

Highest Common Factor of 4145,3330,14962 using Euclid's algorithm

Highest Common Factor of 4145,3330,14962 is 1

Step 1: Since 4145 > 3330, we apply the division lemma to 4145 and 3330, to get

4145 = 3330 x 1 + 815

Step 2: Since the reminder 3330 ≠ 0, we apply division lemma to 815 and 3330, to get

3330 = 815 x 4 + 70

Step 3: We consider the new divisor 815 and the new remainder 70, and apply the division lemma to get

815 = 70 x 11 + 45

We consider the new divisor 70 and the new remainder 45,and apply the division lemma to get

70 = 45 x 1 + 25

We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get

45 = 25 x 1 + 20

We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get

25 = 20 x 1 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4145 and 3330 is 5

Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(70,45) = HCF(815,70) = HCF(3330,815) = HCF(4145,3330) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 14962 > 5, we apply the division lemma to 14962 and 5, to get

14962 = 5 x 2992 + 2

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get

5 = 2 x 2 + 1

Step 3: 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 5 and 14962 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(14962,5) .

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Frequently Asked Questions on HCF of 4145, 3330, 14962 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 4145, 3330, 14962?

Answer: HCF of 4145, 3330, 14962 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4145, 3330, 14962 using Euclid's Algorithm?

Answer: For arbitrary numbers 4145, 3330, 14962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.