Highest Common Factor of 8259, 3488 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 8259, 3488 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8259, 3488 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 8259, 3488 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 8259, 3488 is 1.

HCF(8259, 3488) = 1

HCF of 8259, 3488 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 8259, 3488 is 1.

Highest Common Factor of 8259,3488 using Euclid's algorithm

Highest Common Factor of 8259,3488 is 1

Step 1: Since 8259 > 3488, we apply the division lemma to 8259 and 3488, to get

8259 = 3488 x 2 + 1283

Step 2: Since the reminder 3488 ≠ 0, we apply division lemma to 1283 and 3488, to get

3488 = 1283 x 2 + 922

Step 3: We consider the new divisor 1283 and the new remainder 922, and apply the division lemma to get

1283 = 922 x 1 + 361

We consider the new divisor 922 and the new remainder 361,and apply the division lemma to get

922 = 361 x 2 + 200

We consider the new divisor 361 and the new remainder 200,and apply the division lemma to get

361 = 200 x 1 + 161

We consider the new divisor 200 and the new remainder 161,and apply the division lemma to get

200 = 161 x 1 + 39

We consider the new divisor 161 and the new remainder 39,and apply the division lemma to get

161 = 39 x 4 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8259 and 3488 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(161,39) = HCF(200,161) = HCF(361,200) = HCF(922,361) = HCF(1283,922) = HCF(3488,1283) = HCF(8259,3488) .

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Frequently Asked Questions on HCF of 8259, 3488 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 8259, 3488?

Answer: HCF of 8259, 3488 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8259, 3488 using Euclid's Algorithm?

Answer: For arbitrary numbers 8259, 3488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.