Highest Common Factor of 481, 270, 434, 843 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 481, 270, 434, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 270, 434, 843 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 481, 270, 434, 843 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 481, 270, 434, 843 is 1.

HCF(481, 270, 434, 843) = 1

HCF of 481, 270, 434, 843 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 481, 270, 434, 843 is 1.

Highest Common Factor of 481,270,434,843 using Euclid's algorithm

Highest Common Factor of 481,270,434,843 is 1

Step 1: Since 481 > 270, we apply the division lemma to 481 and 270, to get

481 = 270 x 1 + 211

Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 211 and 270, to get

270 = 211 x 1 + 59

Step 3: We consider the new divisor 211 and the new remainder 59, and apply the division lemma to get

211 = 59 x 3 + 34

We consider the new divisor 59 and the new remainder 34,and apply the division lemma to get

59 = 34 x 1 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 481 and 270 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(59,34) = HCF(211,59) = HCF(270,211) = HCF(481,270) .

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

Step 1: Since 434 > 1, we apply the division lemma to 434 and 1, to get

434 = 1 x 434 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 434 is 1

Notice that 1 = HCF(434,1) .

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

Step 1: Since 843 > 1, we apply the division lemma to 843 and 1, to get

843 = 1 x 843 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 843 is 1

Notice that 1 = HCF(843,1) .

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Frequently Asked Questions on HCF of 481, 270, 434, 843 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 481, 270, 434, 843?

Answer: HCF of 481, 270, 434, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 270, 434, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 270, 434, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.