Highest Common Factor of 918, 9099, 5710 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 918, 9099, 5710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 918, 9099, 5710 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 918, 9099, 5710 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 918, 9099, 5710 is 1.

HCF(918, 9099, 5710) = 1

HCF of 918, 9099, 5710 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 918, 9099, 5710 is 1.

Highest Common Factor of 918,9099,5710 using Euclid's algorithm

Highest Common Factor of 918,9099,5710 is 1

Step 1: Since 9099 > 918, we apply the division lemma to 9099 and 918, to get

9099 = 918 x 9 + 837

Step 2: Since the reminder 918 ≠ 0, we apply division lemma to 837 and 918, to get

918 = 837 x 1 + 81

Step 3: We consider the new divisor 837 and the new remainder 81, and apply the division lemma to get

837 = 81 x 10 + 27

We consider the new divisor 81 and the new remainder 27, and apply the division lemma to get

81 = 27 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 918 and 9099 is 27

Notice that 27 = HCF(81,27) = HCF(837,81) = HCF(918,837) = HCF(9099,918) .

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

Step 1: Since 5710 > 27, we apply the division lemma to 5710 and 27, to get

5710 = 27 x 211 + 13

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 13 and 27, to get

27 = 13 x 2 + 1

Step 3: We consider the new divisor 13 and the new remainder 1, and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 27 and 5710 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(5710,27) .

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Frequently Asked Questions on HCF of 918, 9099, 5710 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 918, 9099, 5710?

Answer: HCF of 918, 9099, 5710 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 918, 9099, 5710 using Euclid's Algorithm?

Answer: For arbitrary numbers 918, 9099, 5710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.