Highest Common Factor of 7043, 6091, 80747 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 7043, 6091, 80747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7043, 6091, 80747 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 7043, 6091, 80747 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 7043, 6091, 80747 is 1.

HCF(7043, 6091, 80747) = 1

HCF of 7043, 6091, 80747 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 7043, 6091, 80747 is 1.

Highest Common Factor of 7043,6091,80747 using Euclid's algorithm

Highest Common Factor of 7043,6091,80747 is 1

Step 1: Since 7043 > 6091, we apply the division lemma to 7043 and 6091, to get

7043 = 6091 x 1 + 952

Step 2: Since the reminder 6091 ≠ 0, we apply division lemma to 952 and 6091, to get

6091 = 952 x 6 + 379

Step 3: We consider the new divisor 952 and the new remainder 379, and apply the division lemma to get

952 = 379 x 2 + 194

We consider the new divisor 379 and the new remainder 194,and apply the division lemma to get

379 = 194 x 1 + 185

We consider the new divisor 194 and the new remainder 185,and apply the division lemma to get

194 = 185 x 1 + 9

We consider the new divisor 185 and the new remainder 9,and apply the division lemma to get

185 = 9 x 20 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 7043 and 6091 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(185,9) = HCF(194,185) = HCF(379,194) = HCF(952,379) = HCF(6091,952) = HCF(7043,6091) .

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

Step 1: Since 80747 > 1, we apply the division lemma to 80747 and 1, to get

80747 = 1 x 80747 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80747 is 1

Notice that 1 = HCF(80747,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7043, 6091, 80747 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 7043, 6091, 80747?

Answer: HCF of 7043, 6091, 80747 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7043, 6091, 80747 using Euclid's Algorithm?

Answer: For arbitrary numbers 7043, 6091, 80747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.