Highest Common Factor of 5960, 1841, 49458 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 5960, 1841, 49458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5960, 1841, 49458 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 5960, 1841, 49458 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 5960, 1841, 49458 is 1.

HCF(5960, 1841, 49458) = 1

HCF of 5960, 1841, 49458 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 5960, 1841, 49458 is 1.

Highest Common Factor of 5960,1841,49458 using Euclid's algorithm

Highest Common Factor of 5960,1841,49458 is 1

Step 1: Since 5960 > 1841, we apply the division lemma to 5960 and 1841, to get

5960 = 1841 x 3 + 437

Step 2: Since the reminder 1841 ≠ 0, we apply division lemma to 437 and 1841, to get

1841 = 437 x 4 + 93

Step 3: We consider the new divisor 437 and the new remainder 93, and apply the division lemma to get

437 = 93 x 4 + 65

We consider the new divisor 93 and the new remainder 65,and apply the division lemma to get

93 = 65 x 1 + 28

We consider the new divisor 65 and the new remainder 28,and apply the division lemma to get

65 = 28 x 2 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5960 and 1841 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(65,28) = HCF(93,65) = HCF(437,93) = HCF(1841,437) = HCF(5960,1841) .

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

Step 1: Since 49458 > 1, we apply the division lemma to 49458 and 1, to get

49458 = 1 x 49458 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49458 is 1

Notice that 1 = HCF(49458,1) .

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Frequently Asked Questions on HCF of 5960, 1841, 49458 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 5960, 1841, 49458?

Answer: HCF of 5960, 1841, 49458 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5960, 1841, 49458 using Euclid's Algorithm?

Answer: For arbitrary numbers 5960, 1841, 49458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.