Highest Common Factor of 848, 511, 72 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 848, 511, 72 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 848, 511, 72 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 848, 511, 72 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 848, 511, 72 is 1.

HCF(848, 511, 72) = 1

HCF of 848, 511, 72 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 848, 511, 72 is 1.

Highest Common Factor of 848,511,72 using Euclid's algorithm

Highest Common Factor of 848,511,72 is 1

Step 1: Since 848 > 511, we apply the division lemma to 848 and 511, to get

848 = 511 x 1 + 337

Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 337 and 511, to get

511 = 337 x 1 + 174

Step 3: We consider the new divisor 337 and the new remainder 174, and apply the division lemma to get

337 = 174 x 1 + 163

We consider the new divisor 174 and the new remainder 163,and apply the division lemma to get

174 = 163 x 1 + 11

We consider the new divisor 163 and the new remainder 11,and apply the division lemma to get

163 = 11 x 14 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 848 and 511 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(163,11) = HCF(174,163) = HCF(337,174) = HCF(511,337) = HCF(848,511) .

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

Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get

72 = 1 x 72 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1

Notice that 1 = HCF(72,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 848, 511, 72 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 848, 511, 72?

Answer: HCF of 848, 511, 72 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 848, 511, 72 using Euclid's Algorithm?

Answer: For arbitrary numbers 848, 511, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.