Highest Common Factor of 280, 244, 471 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 280, 244, 471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 280, 244, 471 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 280, 244, 471 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 280, 244, 471 is 1.

HCF(280, 244, 471) = 1

HCF of 280, 244, 471 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 280, 244, 471 is 1.

Highest Common Factor of 280,244,471 using Euclid's algorithm

Highest Common Factor of 280,244,471 is 1

Step 1: Since 280 > 244, we apply the division lemma to 280 and 244, to get

280 = 244 x 1 + 36

Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 36 and 244, to get

244 = 36 x 6 + 28

Step 3: We consider the new divisor 36 and the new remainder 28, and apply the division lemma to get

36 = 28 x 1 + 8

We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get

28 = 8 x 3 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 280 and 244 is 4

Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(244,36) = HCF(280,244) .

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

Step 1: Since 471 > 4, we apply the division lemma to 471 and 4, to get

471 = 4 x 117 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 471 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(471,4) .

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Frequently Asked Questions on HCF of 280, 244, 471 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 280, 244, 471?

Answer: HCF of 280, 244, 471 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 280, 244, 471 using Euclid's Algorithm?

Answer: For arbitrary numbers 280, 244, 471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.