Highest Common Factor of 6880, 2827, 96889 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 6880, 2827, 96889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6880, 2827, 96889 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 6880, 2827, 96889 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 6880, 2827, 96889 is 1.

HCF(6880, 2827, 96889) = 1

HCF of 6880, 2827, 96889 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 6880, 2827, 96889 is 1.

Highest Common Factor of 6880,2827,96889 using Euclid's algorithm

Highest Common Factor of 6880,2827,96889 is 1

Step 1: Since 6880 > 2827, we apply the division lemma to 6880 and 2827, to get

6880 = 2827 x 2 + 1226

Step 2: Since the reminder 2827 ≠ 0, we apply division lemma to 1226 and 2827, to get

2827 = 1226 x 2 + 375

Step 3: We consider the new divisor 1226 and the new remainder 375, and apply the division lemma to get

1226 = 375 x 3 + 101

We consider the new divisor 375 and the new remainder 101,and apply the division lemma to get

375 = 101 x 3 + 72

We consider the new divisor 101 and the new remainder 72,and apply the division lemma to get

101 = 72 x 1 + 29

We consider the new divisor 72 and the new remainder 29,and apply the division lemma to get

72 = 29 x 2 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6880 and 2827 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(72,29) = HCF(101,72) = HCF(375,101) = HCF(1226,375) = HCF(2827,1226) = HCF(6880,2827) .

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

Step 1: Since 96889 > 1, we apply the division lemma to 96889 and 1, to get

96889 = 1 x 96889 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96889 is 1

Notice that 1 = HCF(96889,1) .

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Frequently Asked Questions on HCF of 6880, 2827, 96889 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 6880, 2827, 96889?

Answer: HCF of 6880, 2827, 96889 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6880, 2827, 96889 using Euclid's Algorithm?

Answer: For arbitrary numbers 6880, 2827, 96889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.