Highest Common Factor of 493, 781, 442, 85 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 493, 781, 442, 85 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 493, 781, 442, 85 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 493, 781, 442, 85 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 493, 781, 442, 85 is 1.

HCF(493, 781, 442, 85) = 1

HCF of 493, 781, 442, 85 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 493, 781, 442, 85 is 1.

Highest Common Factor of 493,781,442,85 using Euclid's algorithm

Highest Common Factor of 493,781,442,85 is 1

Step 1: Since 781 > 493, we apply the division lemma to 781 and 493, to get

781 = 493 x 1 + 288

Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 288 and 493, to get

493 = 288 x 1 + 205

Step 3: We consider the new divisor 288 and the new remainder 205, and apply the division lemma to get

288 = 205 x 1 + 83

We consider the new divisor 205 and the new remainder 83,and apply the division lemma to get

205 = 83 x 2 + 39

We consider the new divisor 83 and the new remainder 39,and apply the division lemma to get

83 = 39 x 2 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 493 and 781 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(83,39) = HCF(205,83) = HCF(288,205) = HCF(493,288) = HCF(781,493) .

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

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

442 = 1 x 442 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 442 is 1

Notice that 1 = HCF(442,1) .

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

Step 1: Since 85 > 1, we apply the division lemma to 85 and 1, to get

85 = 1 x 85 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85 is 1

Notice that 1 = HCF(85,1) .

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Frequently Asked Questions on HCF of 493, 781, 442, 85 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 493, 781, 442, 85?

Answer: HCF of 493, 781, 442, 85 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 493, 781, 442, 85 using Euclid's Algorithm?

Answer: For arbitrary numbers 493, 781, 442, 85 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.