Highest Common Factor of 8797, 7278, 71445 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 8797, 7278, 71445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8797, 7278, 71445 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 8797, 7278, 71445 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 8797, 7278, 71445 is 1.

HCF(8797, 7278, 71445) = 1

HCF of 8797, 7278, 71445 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 8797, 7278, 71445 is 1.

Highest Common Factor of 8797,7278,71445 using Euclid's algorithm

Highest Common Factor of 8797,7278,71445 is 1

Step 1: Since 8797 > 7278, we apply the division lemma to 8797 and 7278, to get

8797 = 7278 x 1 + 1519

Step 2: Since the reminder 7278 ≠ 0, we apply division lemma to 1519 and 7278, to get

7278 = 1519 x 4 + 1202

Step 3: We consider the new divisor 1519 and the new remainder 1202, and apply the division lemma to get

1519 = 1202 x 1 + 317

We consider the new divisor 1202 and the new remainder 317,and apply the division lemma to get

1202 = 317 x 3 + 251

We consider the new divisor 317 and the new remainder 251,and apply the division lemma to get

317 = 251 x 1 + 66

We consider the new divisor 251 and the new remainder 66,and apply the division lemma to get

251 = 66 x 3 + 53

We consider the new divisor 66 and the new remainder 53,and apply the division lemma to get

66 = 53 x 1 + 13

We consider the new divisor 53 and the new remainder 13,and apply the division lemma to get

53 = 13 x 4 + 1

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 8797 and 7278 is 1

Notice that 1 = HCF(13,1) = HCF(53,13) = HCF(66,53) = HCF(251,66) = HCF(317,251) = HCF(1202,317) = HCF(1519,1202) = HCF(7278,1519) = HCF(8797,7278) .

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

Step 1: Since 71445 > 1, we apply the division lemma to 71445 and 1, to get

71445 = 1 x 71445 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71445 is 1

Notice that 1 = HCF(71445,1) .

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Frequently Asked Questions on HCF of 8797, 7278, 71445 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 8797, 7278, 71445?

Answer: HCF of 8797, 7278, 71445 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8797, 7278, 71445 using Euclid's Algorithm?

Answer: For arbitrary numbers 8797, 7278, 71445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.