Highest Common Factor of 233, 416, 544 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 233, 416, 544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 233, 416, 544 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 233, 416, 544 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 233, 416, 544 is 1.

HCF(233, 416, 544) = 1

HCF of 233, 416, 544 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 233, 416, 544 is 1.

Highest Common Factor of 233,416,544 using Euclid's algorithm

Highest Common Factor of 233,416,544 is 1

Step 1: Since 416 > 233, we apply the division lemma to 416 and 233, to get

416 = 233 x 1 + 183

Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 183 and 233, to get

233 = 183 x 1 + 50

Step 3: We consider the new divisor 183 and the new remainder 50, and apply the division lemma to get

183 = 50 x 3 + 33

We consider the new divisor 50 and the new remainder 33,and apply the division lemma to get

50 = 33 x 1 + 17

We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get

33 = 17 x 1 + 16

We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get

17 = 16 x 1 + 1

We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get

16 = 1 x 16 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 233 and 416 is 1

Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(50,33) = HCF(183,50) = HCF(233,183) = HCF(416,233) .

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

Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get

544 = 1 x 544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1

Notice that 1 = HCF(544,1) .

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Frequently Asked Questions on HCF of 233, 416, 544 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 233, 416, 544?

Answer: HCF of 233, 416, 544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 233, 416, 544 using Euclid's Algorithm?

Answer: For arbitrary numbers 233, 416, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.