Highest Common Factor of 843, 3899, 9598 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 843, 3899, 9598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 843, 3899, 9598 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 843, 3899, 9598 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 843, 3899, 9598 is 1.

HCF(843, 3899, 9598) = 1

HCF of 843, 3899, 9598 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 843, 3899, 9598 is 1.

Highest Common Factor of 843,3899,9598 using Euclid's algorithm

Highest Common Factor of 843,3899,9598 is 1

Step 1: Since 3899 > 843, we apply the division lemma to 3899 and 843, to get

3899 = 843 x 4 + 527

Step 2: Since the reminder 843 ≠ 0, we apply division lemma to 527 and 843, to get

843 = 527 x 1 + 316

Step 3: We consider the new divisor 527 and the new remainder 316, and apply the division lemma to get

527 = 316 x 1 + 211

We consider the new divisor 316 and the new remainder 211,and apply the division lemma to get

316 = 211 x 1 + 105

We consider the new divisor 211 and the new remainder 105,and apply the division lemma to get

211 = 105 x 2 + 1

We consider the new divisor 105 and the new remainder 1,and apply the division lemma to get

105 = 1 x 105 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 843 and 3899 is 1

Notice that 1 = HCF(105,1) = HCF(211,105) = HCF(316,211) = HCF(527,316) = HCF(843,527) = HCF(3899,843) .

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

Step 1: Since 9598 > 1, we apply the division lemma to 9598 and 1, to get

9598 = 1 x 9598 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9598 is 1

Notice that 1 = HCF(9598,1) .

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Frequently Asked Questions on HCF of 843, 3899, 9598 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 843, 3899, 9598?

Answer: HCF of 843, 3899, 9598 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 843, 3899, 9598 using Euclid's Algorithm?

Answer: For arbitrary numbers 843, 3899, 9598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.