Highest Common Factor of 471, 9259, 5850 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 471, 9259, 5850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 471, 9259, 5850 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 471, 9259, 5850 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 471, 9259, 5850 is 1.

HCF(471, 9259, 5850) = 1

HCF of 471, 9259, 5850 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 471, 9259, 5850 is 1.

Highest Common Factor of 471,9259,5850 using Euclid's algorithm

Highest Common Factor of 471,9259,5850 is 1

Step 1: Since 9259 > 471, we apply the division lemma to 9259 and 471, to get

9259 = 471 x 19 + 310

Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 310 and 471, to get

471 = 310 x 1 + 161

Step 3: We consider the new divisor 310 and the new remainder 161, and apply the division lemma to get

310 = 161 x 1 + 149

We consider the new divisor 161 and the new remainder 149,and apply the division lemma to get

161 = 149 x 1 + 12

We consider the new divisor 149 and the new remainder 12,and apply the division lemma to get

149 = 12 x 12 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 471 and 9259 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(149,12) = HCF(161,149) = HCF(310,161) = HCF(471,310) = HCF(9259,471) .

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

Step 1: Since 5850 > 1, we apply the division lemma to 5850 and 1, to get

5850 = 1 x 5850 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5850 is 1

Notice that 1 = HCF(5850,1) .

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Frequently Asked Questions on HCF of 471, 9259, 5850 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 471, 9259, 5850?

Answer: HCF of 471, 9259, 5850 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 471, 9259, 5850 using Euclid's Algorithm?

Answer: For arbitrary numbers 471, 9259, 5850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.