Highest Common Factor of 235, 442, 511, 233 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 235, 442, 511, 233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 235, 442, 511, 233 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 235, 442, 511, 233 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 235, 442, 511, 233 is 1.

HCF(235, 442, 511, 233) = 1

HCF of 235, 442, 511, 233 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 235, 442, 511, 233 is 1.

Highest Common Factor of 235,442,511,233 using Euclid's algorithm

Highest Common Factor of 235,442,511,233 is 1

Step 1: Since 442 > 235, we apply the division lemma to 442 and 235, to get

442 = 235 x 1 + 207

Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 207 and 235, to get

235 = 207 x 1 + 28

Step 3: We consider the new divisor 207 and the new remainder 28, and apply the division lemma to get

207 = 28 x 7 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 235 and 442 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(207,28) = HCF(235,207) = HCF(442,235) .

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

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

511 = 1 x 511 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 511 is 1

Notice that 1 = HCF(511,1) .

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

Step 1: Since 233 > 1, we apply the division lemma to 233 and 1, to get

233 = 1 x 233 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 233 is 1

Notice that 1 = HCF(233,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 235, 442, 511, 233 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 235, 442, 511, 233?

Answer: HCF of 235, 442, 511, 233 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 235, 442, 511, 233 using Euclid's Algorithm?

Answer: For arbitrary numbers 235, 442, 511, 233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.