Highest Common Factor of 833, 608, 454, 271 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 833, 608, 454, 271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 833, 608, 454, 271 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 833, 608, 454, 271 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 833, 608, 454, 271 is 1.

HCF(833, 608, 454, 271) = 1

HCF of 833, 608, 454, 271 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 833, 608, 454, 271 is 1.

Highest Common Factor of 833,608,454,271 using Euclid's algorithm

Highest Common Factor of 833,608,454,271 is 1

Step 1: Since 833 > 608, we apply the division lemma to 833 and 608, to get

833 = 608 x 1 + 225

Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 225 and 608, to get

608 = 225 x 2 + 158

Step 3: We consider the new divisor 225 and the new remainder 158, and apply the division lemma to get

225 = 158 x 1 + 67

We consider the new divisor 158 and the new remainder 67,and apply the division lemma to get

158 = 67 x 2 + 24

We consider the new divisor 67 and the new remainder 24,and apply the division lemma to get

67 = 24 x 2 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 833 and 608 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(67,24) = HCF(158,67) = HCF(225,158) = HCF(608,225) = HCF(833,608) .

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

Step 1: Since 454 > 1, we apply the division lemma to 454 and 1, to get

454 = 1 x 454 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 454 is 1

Notice that 1 = HCF(454,1) .

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

Step 1: Since 271 > 1, we apply the division lemma to 271 and 1, to get

271 = 1 x 271 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 271 is 1

Notice that 1 = HCF(271,1) .

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Frequently Asked Questions on HCF of 833, 608, 454, 271 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 833, 608, 454, 271?

Answer: HCF of 833, 608, 454, 271 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 833, 608, 454, 271 using Euclid's Algorithm?

Answer: For arbitrary numbers 833, 608, 454, 271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.