Highest Common Factor of 4330, 1827, 41004 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 4330, 1827, 41004 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4330, 1827, 41004 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 4330, 1827, 41004 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 4330, 1827, 41004 is 1.

HCF(4330, 1827, 41004) = 1

HCF of 4330, 1827, 41004 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 4330, 1827, 41004 is 1.

Highest Common Factor of 4330,1827,41004 using Euclid's algorithm

Highest Common Factor of 4330,1827,41004 is 1

Step 1: Since 4330 > 1827, we apply the division lemma to 4330 and 1827, to get

4330 = 1827 x 2 + 676

Step 2: Since the reminder 1827 ≠ 0, we apply division lemma to 676 and 1827, to get

1827 = 676 x 2 + 475

Step 3: We consider the new divisor 676 and the new remainder 475, and apply the division lemma to get

676 = 475 x 1 + 201

We consider the new divisor 475 and the new remainder 201,and apply the division lemma to get

475 = 201 x 2 + 73

We consider the new divisor 201 and the new remainder 73,and apply the division lemma to get

201 = 73 x 2 + 55

We consider the new divisor 73 and the new remainder 55,and apply the division lemma to get

73 = 55 x 1 + 18

We consider the new divisor 55 and the new remainder 18,and apply the division lemma to get

55 = 18 x 3 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4330 and 1827 is 1

Notice that 1 = HCF(18,1) = HCF(55,18) = HCF(73,55) = HCF(201,73) = HCF(475,201) = HCF(676,475) = HCF(1827,676) = HCF(4330,1827) .

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

Step 1: Since 41004 > 1, we apply the division lemma to 41004 and 1, to get

41004 = 1 x 41004 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41004 is 1

Notice that 1 = HCF(41004,1) .

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Frequently Asked Questions on HCF of 4330, 1827, 41004 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 4330, 1827, 41004?

Answer: HCF of 4330, 1827, 41004 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4330, 1827, 41004 using Euclid's Algorithm?

Answer: For arbitrary numbers 4330, 1827, 41004 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.