Highest Common Factor of 9799, 1336, 31499 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 9799, 1336, 31499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9799, 1336, 31499 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 9799, 1336, 31499 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 9799, 1336, 31499 is 1.

HCF(9799, 1336, 31499) = 1

HCF of 9799, 1336, 31499 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 9799, 1336, 31499 is 1.

Highest Common Factor of 9799,1336,31499 using Euclid's algorithm

Highest Common Factor of 9799,1336,31499 is 1

Step 1: Since 9799 > 1336, we apply the division lemma to 9799 and 1336, to get

9799 = 1336 x 7 + 447

Step 2: Since the reminder 1336 ≠ 0, we apply division lemma to 447 and 1336, to get

1336 = 447 x 2 + 442

Step 3: We consider the new divisor 447 and the new remainder 442, and apply the division lemma to get

447 = 442 x 1 + 5

We consider the new divisor 442 and the new remainder 5,and apply the division lemma to get

442 = 5 x 88 + 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 9799 and 1336 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(442,5) = HCF(447,442) = HCF(1336,447) = HCF(9799,1336) .

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

Step 1: Since 31499 > 1, we apply the division lemma to 31499 and 1, to get

31499 = 1 x 31499 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31499 is 1

Notice that 1 = HCF(31499,1) .

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Frequently Asked Questions on HCF of 9799, 1336, 31499 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 9799, 1336, 31499?

Answer: HCF of 9799, 1336, 31499 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9799, 1336, 31499 using Euclid's Algorithm?

Answer: For arbitrary numbers 9799, 1336, 31499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.