Highest Common Factor of 884, 9373, 3296 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 884, 9373, 3296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 884, 9373, 3296 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 884, 9373, 3296 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 884, 9373, 3296 is 1.

HCF(884, 9373, 3296) = 1

HCF of 884, 9373, 3296 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 884, 9373, 3296 is 1.

Highest Common Factor of 884,9373,3296 using Euclid's algorithm

Highest Common Factor of 884,9373,3296 is 1

Step 1: Since 9373 > 884, we apply the division lemma to 9373 and 884, to get

9373 = 884 x 10 + 533

Step 2: Since the reminder 884 ≠ 0, we apply division lemma to 533 and 884, to get

884 = 533 x 1 + 351

Step 3: We consider the new divisor 533 and the new remainder 351, and apply the division lemma to get

533 = 351 x 1 + 182

We consider the new divisor 351 and the new remainder 182,and apply the division lemma to get

351 = 182 x 1 + 169

We consider the new divisor 182 and the new remainder 169,and apply the division lemma to get

182 = 169 x 1 + 13

We consider the new divisor 169 and the new remainder 13,and apply the division lemma to get

169 = 13 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 884 and 9373 is 13

Notice that 13 = HCF(169,13) = HCF(182,169) = HCF(351,182) = HCF(533,351) = HCF(884,533) = HCF(9373,884) .

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

Step 1: Since 3296 > 13, we apply the division lemma to 3296 and 13, to get

3296 = 13 x 253 + 7

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 7 and 13, to get

13 = 7 x 1 + 6

Step 3: We consider the new divisor 7 and the new remainder 6, and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 3296 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(3296,13) .

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Frequently Asked Questions on HCF of 884, 9373, 3296 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 884, 9373, 3296?

Answer: HCF of 884, 9373, 3296 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 884, 9373, 3296 using Euclid's Algorithm?

Answer: For arbitrary numbers 884, 9373, 3296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.