Highest Common Factor of 802, 488, 383 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 802, 488, 383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 802, 488, 383 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 802, 488, 383 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 802, 488, 383 is 1.

HCF(802, 488, 383) = 1

HCF of 802, 488, 383 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 802, 488, 383 is 1.

Highest Common Factor of 802,488,383 using Euclid's algorithm

Highest Common Factor of 802,488,383 is 1

Step 1: Since 802 > 488, we apply the division lemma to 802 and 488, to get

802 = 488 x 1 + 314

Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 314 and 488, to get

488 = 314 x 1 + 174

Step 3: We consider the new divisor 314 and the new remainder 174, and apply the division lemma to get

314 = 174 x 1 + 140

We consider the new divisor 174 and the new remainder 140,and apply the division lemma to get

174 = 140 x 1 + 34

We consider the new divisor 140 and the new remainder 34,and apply the division lemma to get

140 = 34 x 4 + 4

We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get

34 = 4 x 8 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 802 and 488 is 2

Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(140,34) = HCF(174,140) = HCF(314,174) = HCF(488,314) = HCF(802,488) .

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

Step 1: Since 383 > 2, we apply the division lemma to 383 and 2, to get

383 = 2 x 191 + 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 383 is 1

Notice that 1 = HCF(2,1) = HCF(383,2) .

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Frequently Asked Questions on HCF of 802, 488, 383 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 802, 488, 383?

Answer: HCF of 802, 488, 383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 802, 488, 383 using Euclid's Algorithm?

Answer: For arbitrary numbers 802, 488, 383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.