Highest Common Factor of 8269, 7020 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 8269, 7020 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8269, 7020 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 8269, 7020 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 8269, 7020 is 1.

HCF(8269, 7020) = 1

HCF of 8269, 7020 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 8269, 7020 is 1.

Highest Common Factor of 8269,7020 using Euclid's algorithm

Highest Common Factor of 8269,7020 is 1

Step 1: Since 8269 > 7020, we apply the division lemma to 8269 and 7020, to get

8269 = 7020 x 1 + 1249

Step 2: Since the reminder 7020 ≠ 0, we apply division lemma to 1249 and 7020, to get

7020 = 1249 x 5 + 775

Step 3: We consider the new divisor 1249 and the new remainder 775, and apply the division lemma to get

1249 = 775 x 1 + 474

We consider the new divisor 775 and the new remainder 474,and apply the division lemma to get

775 = 474 x 1 + 301

We consider the new divisor 474 and the new remainder 301,and apply the division lemma to get

474 = 301 x 1 + 173

We consider the new divisor 301 and the new remainder 173,and apply the division lemma to get

301 = 173 x 1 + 128

We consider the new divisor 173 and the new remainder 128,and apply the division lemma to get

173 = 128 x 1 + 45

We consider the new divisor 128 and the new remainder 45,and apply the division lemma to get

128 = 45 x 2 + 38

We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get

45 = 38 x 1 + 7

We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get

38 = 7 x 5 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8269 and 7020 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(128,45) = HCF(173,128) = HCF(301,173) = HCF(474,301) = HCF(775,474) = HCF(1249,775) = HCF(7020,1249) = HCF(8269,7020) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8269, 7020 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 8269, 7020?

Answer: HCF of 8269, 7020 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8269, 7020 using Euclid's Algorithm?

Answer: For arbitrary numbers 8269, 7020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.