Highest Common Factor of 6561, 3079, 31175 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 6561, 3079, 31175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6561, 3079, 31175 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 6561, 3079, 31175 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 6561, 3079, 31175 is 1.

HCF(6561, 3079, 31175) = 1

HCF of 6561, 3079, 31175 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 6561, 3079, 31175 is 1.

Highest Common Factor of 6561,3079,31175 using Euclid's algorithm

Highest Common Factor of 6561,3079,31175 is 1

Step 1: Since 6561 > 3079, we apply the division lemma to 6561 and 3079, to get

6561 = 3079 x 2 + 403

Step 2: Since the reminder 3079 ≠ 0, we apply division lemma to 403 and 3079, to get

3079 = 403 x 7 + 258

Step 3: We consider the new divisor 403 and the new remainder 258, and apply the division lemma to get

403 = 258 x 1 + 145

We consider the new divisor 258 and the new remainder 145,and apply the division lemma to get

258 = 145 x 1 + 113

We consider the new divisor 145 and the new remainder 113,and apply the division lemma to get

145 = 113 x 1 + 32

We consider the new divisor 113 and the new remainder 32,and apply the division lemma to get

113 = 32 x 3 + 17

We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get

32 = 17 x 1 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 6561 and 3079 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(113,32) = HCF(145,113) = HCF(258,145) = HCF(403,258) = HCF(3079,403) = HCF(6561,3079) .

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

Step 1: Since 31175 > 1, we apply the division lemma to 31175 and 1, to get

31175 = 1 x 31175 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31175 is 1

Notice that 1 = HCF(31175,1) .

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Frequently Asked Questions on HCF of 6561, 3079, 31175 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 6561, 3079, 31175?

Answer: HCF of 6561, 3079, 31175 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6561, 3079, 31175 using Euclid's Algorithm?

Answer: For arbitrary numbers 6561, 3079, 31175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.