Highest Common Factor of 3223, 7696 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 3223, 7696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3223, 7696 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 3223, 7696 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 3223, 7696 is 1.

HCF(3223, 7696) = 1

HCF of 3223, 7696 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 3223, 7696 is 1.

Highest Common Factor of 3223,7696 using Euclid's algorithm

Highest Common Factor of 3223,7696 is 1

Step 1: Since 7696 > 3223, we apply the division lemma to 7696 and 3223, to get

7696 = 3223 x 2 + 1250

Step 2: Since the reminder 3223 ≠ 0, we apply division lemma to 1250 and 3223, to get

3223 = 1250 x 2 + 723

Step 3: We consider the new divisor 1250 and the new remainder 723, and apply the division lemma to get

1250 = 723 x 1 + 527

We consider the new divisor 723 and the new remainder 527,and apply the division lemma to get

723 = 527 x 1 + 196

We consider the new divisor 527 and the new remainder 196,and apply the division lemma to get

527 = 196 x 2 + 135

We consider the new divisor 196 and the new remainder 135,and apply the division lemma to get

196 = 135 x 1 + 61

We consider the new divisor 135 and the new remainder 61,and apply the division lemma to get

135 = 61 x 2 + 13

We consider the new divisor 61 and the new remainder 13,and apply the division lemma to get

61 = 13 x 4 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 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 3223 and 7696 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(61,13) = HCF(135,61) = HCF(196,135) = HCF(527,196) = HCF(723,527) = HCF(1250,723) = HCF(3223,1250) = HCF(7696,3223) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3223, 7696 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 3223, 7696?

Answer: HCF of 3223, 7696 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3223, 7696 using Euclid's Algorithm?

Answer: For arbitrary numbers 3223, 7696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.