Highest Common Factor of 618, 982, 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 618, 982, 229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 618, 982, 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 618, 982, 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 618, 982, 229 is 1.

HCF(618, 982, 229) = 1

HCF of 618, 982, 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 618, 982, 229 is 1.

Highest Common Factor of 618,982,229 using Euclid's algorithm

Highest Common Factor of 618,982,229 is 1

Step 1: Since 982 > 618, we apply the division lemma to 982 and 618, to get

982 = 618 x 1 + 364

Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 364 and 618, to get

618 = 364 x 1 + 254

Step 3: We consider the new divisor 364 and the new remainder 254, and apply the division lemma to get

364 = 254 x 1 + 110

We consider the new divisor 254 and the new remainder 110,and apply the division lemma to get

254 = 110 x 2 + 34

We consider the new divisor 110 and the new remainder 34,and apply the division lemma to get

110 = 34 x 3 + 8

We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get

34 = 8 x 4 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 618 and 982 is 2

Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(110,34) = HCF(254,110) = HCF(364,254) = HCF(618,364) = HCF(982,618) .

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 618, 982, 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 618, 982, 229?

Answer: HCF of 618, 982, 229 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 618, 982, 229 using Euclid's Algorithm?

Answer: For arbitrary numbers 618, 982, 229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.