Highest Common Factor of 983, 627, 896, 231 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 983, 627, 896, 231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 983, 627, 896, 231 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 983, 627, 896, 231 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 983, 627, 896, 231 is 1.

HCF(983, 627, 896, 231) = 1

HCF of 983, 627, 896, 231 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 983, 627, 896, 231 is 1.

Highest Common Factor of 983,627,896,231 using Euclid's algorithm

Highest Common Factor of 983,627,896,231 is 1

Step 1: Since 983 > 627, we apply the division lemma to 983 and 627, to get

983 = 627 x 1 + 356

Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 356 and 627, to get

627 = 356 x 1 + 271

Step 3: We consider the new divisor 356 and the new remainder 271, and apply the division lemma to get

356 = 271 x 1 + 85

We consider the new divisor 271 and the new remainder 85,and apply the division lemma to get

271 = 85 x 3 + 16

We consider the new divisor 85 and the new remainder 16,and apply the division lemma to get

85 = 16 x 5 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 983 and 627 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(85,16) = HCF(271,85) = HCF(356,271) = HCF(627,356) = HCF(983,627) .

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

Step 1: Since 896 > 1, we apply the division lemma to 896 and 1, to get

896 = 1 x 896 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 896 is 1

Notice that 1 = HCF(896,1) .

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

Step 1: Since 231 > 1, we apply the division lemma to 231 and 1, to get

231 = 1 x 231 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 231 is 1

Notice that 1 = HCF(231,1) .

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Frequently Asked Questions on HCF of 983, 627, 896, 231 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 983, 627, 896, 231?

Answer: HCF of 983, 627, 896, 231 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 983, 627, 896, 231 using Euclid's Algorithm?

Answer: For arbitrary numbers 983, 627, 896, 231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.