Highest Common Factor of 515, 830, 947 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 515, 830, 947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 515, 830, 947 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 515, 830, 947 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 515, 830, 947 is 1.

HCF(515, 830, 947) = 1

HCF of 515, 830, 947 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 515, 830, 947 is 1.

Highest Common Factor of 515,830,947 using Euclid's algorithm

Highest Common Factor of 515,830,947 is 1

Step 1: Since 830 > 515, we apply the division lemma to 830 and 515, to get

830 = 515 x 1 + 315

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 315 and 515, to get

515 = 315 x 1 + 200

Step 3: We consider the new divisor 315 and the new remainder 200, and apply the division lemma to get

315 = 200 x 1 + 115

We consider the new divisor 200 and the new remainder 115,and apply the division lemma to get

200 = 115 x 1 + 85

We consider the new divisor 115 and the new remainder 85,and apply the division lemma to get

115 = 85 x 1 + 30

We consider the new divisor 85 and the new remainder 30,and apply the division lemma to get

85 = 30 x 2 + 25

We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get

30 = 25 x 1 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 515 and 830 is 5

Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(85,30) = HCF(115,85) = HCF(200,115) = HCF(315,200) = HCF(515,315) = HCF(830,515) .

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

Step 1: Since 947 > 5, we apply the division lemma to 947 and 5, to get

947 = 5 x 189 + 2

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get

5 = 2 x 2 + 1

Step 3: 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 5 and 947 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(947,5) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 515, 830, 947 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 515, 830, 947?

Answer: HCF of 515, 830, 947 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 515, 830, 947 using Euclid's Algorithm?

Answer: For arbitrary numbers 515, 830, 947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.