Highest Common Factor of 442, 5863, 6305 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 442, 5863, 6305 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 442, 5863, 6305 is 13 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 442, 5863, 6305 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 442, 5863, 6305 is 13.

HCF(442, 5863, 6305) = 13

HCF of 442, 5863, 6305 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 442, 5863, 6305 is 13.

Highest Common Factor of 442,5863,6305 using Euclid's algorithm

Highest Common Factor of 442,5863,6305 is 13

Step 1: Since 5863 > 442, we apply the division lemma to 5863 and 442, to get

5863 = 442 x 13 + 117

Step 2: Since the reminder 442 ≠ 0, we apply division lemma to 117 and 442, to get

442 = 117 x 3 + 91

Step 3: We consider the new divisor 117 and the new remainder 91, and apply the division lemma to get

117 = 91 x 1 + 26

We consider the new divisor 91 and the new remainder 26,and apply the division lemma to get

91 = 26 x 3 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 442 and 5863 is 13

Notice that 13 = HCF(26,13) = HCF(91,26) = HCF(117,91) = HCF(442,117) = HCF(5863,442) .

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

Step 1: Since 6305 > 13, we apply the division lemma to 6305 and 13, to get

6305 = 13 x 485 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 13 and 6305 is 13

Notice that 13 = HCF(6305,13) .

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Frequently Asked Questions on HCF of 442, 5863, 6305 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 442, 5863, 6305?

Answer: HCF of 442, 5863, 6305 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 442, 5863, 6305 using Euclid's Algorithm?

Answer: For arbitrary numbers 442, 5863, 6305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.