Highest Common Factor of 843, 515, 748 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 843, 515, 748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 843, 515, 748 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 843, 515, 748 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 843, 515, 748 is 1.

HCF(843, 515, 748) = 1

HCF of 843, 515, 748 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 843, 515, 748 is 1.

Highest Common Factor of 843,515,748 using Euclid's algorithm

Highest Common Factor of 843,515,748 is 1

Step 1: Since 843 > 515, we apply the division lemma to 843 and 515, to get

843 = 515 x 1 + 328

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 328 and 515, to get

515 = 328 x 1 + 187

Step 3: We consider the new divisor 328 and the new remainder 187, and apply the division lemma to get

328 = 187 x 1 + 141

We consider the new divisor 187 and the new remainder 141,and apply the division lemma to get

187 = 141 x 1 + 46

We consider the new divisor 141 and the new remainder 46,and apply the division lemma to get

141 = 46 x 3 + 3

We consider the new divisor 46 and the new remainder 3,and apply the division lemma to get

46 = 3 x 15 + 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 843 and 515 is 1

Notice that 1 = HCF(3,1) = HCF(46,3) = HCF(141,46) = HCF(187,141) = HCF(328,187) = HCF(515,328) = HCF(843,515) .

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

Step 1: Since 748 > 1, we apply the division lemma to 748 and 1, to get

748 = 1 x 748 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 748 is 1

Notice that 1 = HCF(748,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 843, 515, 748 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 843, 515, 748?

Answer: HCF of 843, 515, 748 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 843, 515, 748 using Euclid's Algorithm?

Answer: For arbitrary numbers 843, 515, 748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.