Highest Common Factor of 7448, 9161 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 7448, 9161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7448, 9161 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 7448, 9161 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 7448, 9161 is 1.

HCF(7448, 9161) = 1

HCF of 7448, 9161 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 7448, 9161 is 1.

Highest Common Factor of 7448,9161 using Euclid's algorithm

Highest Common Factor of 7448,9161 is 1

Step 1: Since 9161 > 7448, we apply the division lemma to 9161 and 7448, to get

9161 = 7448 x 1 + 1713

Step 2: Since the reminder 7448 ≠ 0, we apply division lemma to 1713 and 7448, to get

7448 = 1713 x 4 + 596

Step 3: We consider the new divisor 1713 and the new remainder 596, and apply the division lemma to get

1713 = 596 x 2 + 521

We consider the new divisor 596 and the new remainder 521,and apply the division lemma to get

596 = 521 x 1 + 75

We consider the new divisor 521 and the new remainder 75,and apply the division lemma to get

521 = 75 x 6 + 71

We consider the new divisor 75 and the new remainder 71,and apply the division lemma to get

75 = 71 x 1 + 4

We consider the new divisor 71 and the new remainder 4,and apply the division lemma to get

71 = 4 x 17 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 7448 and 9161 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(71,4) = HCF(75,71) = HCF(521,75) = HCF(596,521) = HCF(1713,596) = HCF(7448,1713) = HCF(9161,7448) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7448, 9161 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 7448, 9161?

Answer: HCF of 7448, 9161 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7448, 9161 using Euclid's Algorithm?

Answer: For arbitrary numbers 7448, 9161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.