Highest Common Factor of 848, 514, 742, 229 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, 514, 742, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 848, 514, 742, 229 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, 514, 742, 229 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, 514, 742, 229 is 1.

HCF(848, 514, 742, 229) = 1

HCF of 848, 514, 742, 229 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, 514, 742, 229 is 1.

Highest Common Factor of 848,514,742,229 using Euclid's algorithm

Highest Common Factor of 848,514,742,229 is 1

Step 1: Since 848 > 514, we apply the division lemma to 848 and 514, to get

848 = 514 x 1 + 334

Step 2: Since the reminder 514 ≠ 0, we apply division lemma to 334 and 514, to get

514 = 334 x 1 + 180

Step 3: We consider the new divisor 334 and the new remainder 180, and apply the division lemma to get

334 = 180 x 1 + 154

We consider the new divisor 180 and the new remainder 154,and apply the division lemma to get

180 = 154 x 1 + 26

We consider the new divisor 154 and the new remainder 26,and apply the division lemma to get

154 = 26 x 5 + 24

We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get

26 = 24 x 1 + 2

We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get

24 = 2 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 848 and 514 is 2

Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(154,26) = HCF(180,154) = HCF(334,180) = HCF(514,334) = HCF(848,514) .

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

Step 1: Since 742 > 2, we apply the division lemma to 742 and 2, to get

742 = 2 x 371 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 742 is 2

Notice that 2 = HCF(742,2) .

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

Step 1: Since 229 > 2, we apply the division lemma to 229 and 2, to get

229 = 2 x 114 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 229 is 1

Notice that 1 = HCF(2,1) = HCF(229,2) .

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, 514, 742, 229 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, 514, 742, 229?

Answer: HCF of 848, 514, 742, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 848, 514, 742, 229 using Euclid's Algorithm?

Answer: For arbitrary numbers 848, 514, 742, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.