Highest Common Factor of 8784, 3253 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 8784, 3253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8784, 3253 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 8784, 3253 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 8784, 3253 is 1.

HCF(8784, 3253) = 1

HCF of 8784, 3253 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 8784, 3253 is 1.

Highest Common Factor of 8784,3253 using Euclid's algorithm

Highest Common Factor of 8784,3253 is 1

Step 1: Since 8784 > 3253, we apply the division lemma to 8784 and 3253, to get

8784 = 3253 x 2 + 2278

Step 2: Since the reminder 3253 ≠ 0, we apply division lemma to 2278 and 3253, to get

3253 = 2278 x 1 + 975

Step 3: We consider the new divisor 2278 and the new remainder 975, and apply the division lemma to get

2278 = 975 x 2 + 328

We consider the new divisor 975 and the new remainder 328,and apply the division lemma to get

975 = 328 x 2 + 319

We consider the new divisor 328 and the new remainder 319,and apply the division lemma to get

328 = 319 x 1 + 9

We consider the new divisor 319 and the new remainder 9,and apply the division lemma to get

319 = 9 x 35 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 8784 and 3253 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(319,9) = HCF(328,319) = HCF(975,328) = HCF(2278,975) = HCF(3253,2278) = HCF(8784,3253) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8784, 3253 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 8784, 3253?

Answer: HCF of 8784, 3253 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8784, 3253 using Euclid's Algorithm?

Answer: For arbitrary numbers 8784, 3253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.