Highest Common Factor of 8882, 6485, 30479 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 8882, 6485, 30479 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8882, 6485, 30479 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 8882, 6485, 30479 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 8882, 6485, 30479 is 1.

HCF(8882, 6485, 30479) = 1

HCF of 8882, 6485, 30479 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 8882, 6485, 30479 is 1.

Highest Common Factor of 8882,6485,30479 using Euclid's algorithm

Highest Common Factor of 8882,6485,30479 is 1

Step 1: Since 8882 > 6485, we apply the division lemma to 8882 and 6485, to get

8882 = 6485 x 1 + 2397

Step 2: Since the reminder 6485 ≠ 0, we apply division lemma to 2397 and 6485, to get

6485 = 2397 x 2 + 1691

Step 3: We consider the new divisor 2397 and the new remainder 1691, and apply the division lemma to get

2397 = 1691 x 1 + 706

We consider the new divisor 1691 and the new remainder 706,and apply the division lemma to get

1691 = 706 x 2 + 279

We consider the new divisor 706 and the new remainder 279,and apply the division lemma to get

706 = 279 x 2 + 148

We consider the new divisor 279 and the new remainder 148,and apply the division lemma to get

279 = 148 x 1 + 131

We consider the new divisor 148 and the new remainder 131,and apply the division lemma to get

148 = 131 x 1 + 17

We consider the new divisor 131 and the new remainder 17,and apply the division lemma to get

131 = 17 x 7 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 8882 and 6485 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(131,17) = HCF(148,131) = HCF(279,148) = HCF(706,279) = HCF(1691,706) = HCF(2397,1691) = HCF(6485,2397) = HCF(8882,6485) .

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

Step 1: Since 30479 > 1, we apply the division lemma to 30479 and 1, to get

30479 = 1 x 30479 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30479 is 1

Notice that 1 = HCF(30479,1) .

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Frequently Asked Questions on HCF of 8882, 6485, 30479 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 8882, 6485, 30479?

Answer: HCF of 8882, 6485, 30479 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8882, 6485, 30479 using Euclid's Algorithm?

Answer: For arbitrary numbers 8882, 6485, 30479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.