Highest Common Factor of 281, 382, 390, 474 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 281, 382, 390, 474 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 281, 382, 390, 474 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 281, 382, 390, 474 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 281, 382, 390, 474 is 1.

HCF(281, 382, 390, 474) = 1

HCF of 281, 382, 390, 474 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 281, 382, 390, 474 is 1.

Highest Common Factor of 281,382,390,474 using Euclid's algorithm

Highest Common Factor of 281,382,390,474 is 1

Step 1: Since 382 > 281, we apply the division lemma to 382 and 281, to get

382 = 281 x 1 + 101

Step 2: Since the reminder 281 ≠ 0, we apply division lemma to 101 and 281, to get

281 = 101 x 2 + 79

Step 3: We consider the new divisor 101 and the new remainder 79, and apply the division lemma to get

101 = 79 x 1 + 22

We consider the new divisor 79 and the new remainder 22,and apply the division lemma to get

79 = 22 x 3 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 281 and 382 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(79,22) = HCF(101,79) = HCF(281,101) = HCF(382,281) .

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

Step 1: Since 390 > 1, we apply the division lemma to 390 and 1, to get

390 = 1 x 390 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 390 is 1

Notice that 1 = HCF(390,1) .

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

Step 1: Since 474 > 1, we apply the division lemma to 474 and 1, to get

474 = 1 x 474 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 474 is 1

Notice that 1 = HCF(474,1) .

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Frequently Asked Questions on HCF of 281, 382, 390, 474 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 281, 382, 390, 474?

Answer: HCF of 281, 382, 390, 474 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 281, 382, 390, 474 using Euclid's Algorithm?

Answer: For arbitrary numbers 281, 382, 390, 474 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.