Highest Common Factor of 223, 286, 475 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 223, 286, 475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 223, 286, 475 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 223, 286, 475 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 223, 286, 475 is 1.

HCF(223, 286, 475) = 1

HCF of 223, 286, 475 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 223, 286, 475 is 1.

Highest Common Factor of 223,286,475 using Euclid's algorithm

Highest Common Factor of 223,286,475 is 1

Step 1: Since 286 > 223, we apply the division lemma to 286 and 223, to get

286 = 223 x 1 + 63

Step 2: Since the reminder 223 ≠ 0, we apply division lemma to 63 and 223, to get

223 = 63 x 3 + 34

Step 3: We consider the new divisor 63 and the new remainder 34, and apply the division lemma to get

63 = 34 x 1 + 29

We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get

34 = 29 x 1 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 223 and 286 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(63,34) = HCF(223,63) = HCF(286,223) .

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

Step 1: Since 475 > 1, we apply the division lemma to 475 and 1, to get

475 = 1 x 475 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 475 is 1

Notice that 1 = HCF(475,1) .

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Frequently Asked Questions on HCF of 223, 286, 475 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 223, 286, 475?

Answer: HCF of 223, 286, 475 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 223, 286, 475 using Euclid's Algorithm?

Answer: For arbitrary numbers 223, 286, 475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.