Highest Common Factor of 8827, 7015 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 8827, 7015 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8827, 7015 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 8827, 7015 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 8827, 7015 is 1.

HCF(8827, 7015) = 1

HCF of 8827, 7015 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 8827, 7015 is 1.

Highest Common Factor of 8827,7015 using Euclid's algorithm

Highest Common Factor of 8827,7015 is 1

Step 1: Since 8827 > 7015, we apply the division lemma to 8827 and 7015, to get

8827 = 7015 x 1 + 1812

Step 2: Since the reminder 7015 ≠ 0, we apply division lemma to 1812 and 7015, to get

7015 = 1812 x 3 + 1579

Step 3: We consider the new divisor 1812 and the new remainder 1579, and apply the division lemma to get

1812 = 1579 x 1 + 233

We consider the new divisor 1579 and the new remainder 233,and apply the division lemma to get

1579 = 233 x 6 + 181

We consider the new divisor 233 and the new remainder 181,and apply the division lemma to get

233 = 181 x 1 + 52

We consider the new divisor 181 and the new remainder 52,and apply the division lemma to get

181 = 52 x 3 + 25

We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get

52 = 25 x 2 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 8827 and 7015 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(181,52) = HCF(233,181) = HCF(1579,233) = HCF(1812,1579) = HCF(7015,1812) = HCF(8827,7015) .

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Frequently Asked Questions on HCF of 8827, 7015 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 8827, 7015?

Answer: HCF of 8827, 7015 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8827, 7015 using Euclid's Algorithm?

Answer: For arbitrary numbers 8827, 7015 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.