Highest Common Factor of 7330, 9513, 84027 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 7330, 9513, 84027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7330, 9513, 84027 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 7330, 9513, 84027 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 7330, 9513, 84027 is 1.

HCF(7330, 9513, 84027) = 1

HCF of 7330, 9513, 84027 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 7330, 9513, 84027 is 1.

Highest Common Factor of 7330,9513,84027 using Euclid's algorithm

Highest Common Factor of 7330,9513,84027 is 1

Step 1: Since 9513 > 7330, we apply the division lemma to 9513 and 7330, to get

9513 = 7330 x 1 + 2183

Step 2: Since the reminder 7330 ≠ 0, we apply division lemma to 2183 and 7330, to get

7330 = 2183 x 3 + 781

Step 3: We consider the new divisor 2183 and the new remainder 781, and apply the division lemma to get

2183 = 781 x 2 + 621

We consider the new divisor 781 and the new remainder 621,and apply the division lemma to get

781 = 621 x 1 + 160

We consider the new divisor 621 and the new remainder 160,and apply the division lemma to get

621 = 160 x 3 + 141

We consider the new divisor 160 and the new remainder 141,and apply the division lemma to get

160 = 141 x 1 + 19

We consider the new divisor 141 and the new remainder 19,and apply the division lemma to get

141 = 19 x 7 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 7330 and 9513 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(141,19) = HCF(160,141) = HCF(621,160) = HCF(781,621) = HCF(2183,781) = HCF(7330,2183) = HCF(9513,7330) .

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

Step 1: Since 84027 > 1, we apply the division lemma to 84027 and 1, to get

84027 = 1 x 84027 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84027 is 1

Notice that 1 = HCF(84027,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7330, 9513, 84027 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 7330, 9513, 84027?

Answer: HCF of 7330, 9513, 84027 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7330, 9513, 84027 using Euclid's Algorithm?

Answer: For arbitrary numbers 7330, 9513, 84027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.