Highest Common Factor of 3830, 6854, 48573 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 3830, 6854, 48573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3830, 6854, 48573 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 3830, 6854, 48573 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 3830, 6854, 48573 is 1.

HCF(3830, 6854, 48573) = 1

HCF of 3830, 6854, 48573 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 3830, 6854, 48573 is 1.

Highest Common Factor of 3830,6854,48573 using Euclid's algorithm

Highest Common Factor of 3830,6854,48573 is 1

Step 1: Since 6854 > 3830, we apply the division lemma to 6854 and 3830, to get

6854 = 3830 x 1 + 3024

Step 2: Since the reminder 3830 ≠ 0, we apply division lemma to 3024 and 3830, to get

3830 = 3024 x 1 + 806

Step 3: We consider the new divisor 3024 and the new remainder 806, and apply the division lemma to get

3024 = 806 x 3 + 606

We consider the new divisor 806 and the new remainder 606,and apply the division lemma to get

806 = 606 x 1 + 200

We consider the new divisor 606 and the new remainder 200,and apply the division lemma to get

606 = 200 x 3 + 6

We consider the new divisor 200 and the new remainder 6,and apply the division lemma to get

200 = 6 x 33 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3830 and 6854 is 2

Notice that 2 = HCF(6,2) = HCF(200,6) = HCF(606,200) = HCF(806,606) = HCF(3024,806) = HCF(3830,3024) = HCF(6854,3830) .

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

Step 1: Since 48573 > 2, we apply the division lemma to 48573 and 2, to get

48573 = 2 x 24286 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 48573 is 1

Notice that 1 = HCF(2,1) = HCF(48573,2) .

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Frequently Asked Questions on HCF of 3830, 6854, 48573 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 3830, 6854, 48573?

Answer: HCF of 3830, 6854, 48573 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3830, 6854, 48573 using Euclid's Algorithm?

Answer: For arbitrary numbers 3830, 6854, 48573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.