Highest Common Factor of 269, 7987, 9523 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 269, 7987, 9523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 269, 7987, 9523 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 269, 7987, 9523 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 269, 7987, 9523 is 1.

HCF(269, 7987, 9523) = 1

HCF of 269, 7987, 9523 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 269, 7987, 9523 is 1.

Highest Common Factor of 269,7987,9523 using Euclid's algorithm

Highest Common Factor of 269,7987,9523 is 1

Step 1: Since 7987 > 269, we apply the division lemma to 7987 and 269, to get

7987 = 269 x 29 + 186

Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 186 and 269, to get

269 = 186 x 1 + 83

Step 3: We consider the new divisor 186 and the new remainder 83, and apply the division lemma to get

186 = 83 x 2 + 20

We consider the new divisor 83 and the new remainder 20,and apply the division lemma to get

83 = 20 x 4 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 269 and 7987 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(83,20) = HCF(186,83) = HCF(269,186) = HCF(7987,269) .

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

Step 1: Since 9523 > 1, we apply the division lemma to 9523 and 1, to get

9523 = 1 x 9523 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9523 is 1

Notice that 1 = HCF(9523,1) .

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Frequently Asked Questions on HCF of 269, 7987, 9523 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 269, 7987, 9523?

Answer: HCF of 269, 7987, 9523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 269, 7987, 9523 using Euclid's Algorithm?

Answer: For arbitrary numbers 269, 7987, 9523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.