Highest Common Factor of 6376, 2801, 14771 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 6376, 2801, 14771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6376, 2801, 14771 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 6376, 2801, 14771 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 6376, 2801, 14771 is 1.

HCF(6376, 2801, 14771) = 1

HCF of 6376, 2801, 14771 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 6376, 2801, 14771 is 1.

Highest Common Factor of 6376,2801,14771 using Euclid's algorithm

Highest Common Factor of 6376,2801,14771 is 1

Step 1: Since 6376 > 2801, we apply the division lemma to 6376 and 2801, to get

6376 = 2801 x 2 + 774

Step 2: Since the reminder 2801 ≠ 0, we apply division lemma to 774 and 2801, to get

2801 = 774 x 3 + 479

Step 3: We consider the new divisor 774 and the new remainder 479, and apply the division lemma to get

774 = 479 x 1 + 295

We consider the new divisor 479 and the new remainder 295,and apply the division lemma to get

479 = 295 x 1 + 184

We consider the new divisor 295 and the new remainder 184,and apply the division lemma to get

295 = 184 x 1 + 111

We consider the new divisor 184 and the new remainder 111,and apply the division lemma to get

184 = 111 x 1 + 73

We consider the new divisor 111 and the new remainder 73,and apply the division lemma to get

111 = 73 x 1 + 38

We consider the new divisor 73 and the new remainder 38,and apply the division lemma to get

73 = 38 x 1 + 35

We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get

38 = 35 x 1 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6376 and 2801 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(73,38) = HCF(111,73) = HCF(184,111) = HCF(295,184) = HCF(479,295) = HCF(774,479) = HCF(2801,774) = HCF(6376,2801) .

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

Step 1: Since 14771 > 1, we apply the division lemma to 14771 and 1, to get

14771 = 1 x 14771 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14771 is 1

Notice that 1 = HCF(14771,1) .

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Frequently Asked Questions on HCF of 6376, 2801, 14771 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 6376, 2801, 14771?

Answer: HCF of 6376, 2801, 14771 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6376, 2801, 14771 using Euclid's Algorithm?

Answer: For arbitrary numbers 6376, 2801, 14771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.