Highest Common Factor of 337, 529, 223 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 337, 529, 223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 337, 529, 223 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 337, 529, 223 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 337, 529, 223 is 1.

HCF(337, 529, 223) = 1

HCF of 337, 529, 223 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 337, 529, 223 is 1.

Highest Common Factor of 337,529,223 using Euclid's algorithm

Highest Common Factor of 337,529,223 is 1

Step 1: Since 529 > 337, we apply the division lemma to 529 and 337, to get

529 = 337 x 1 + 192

Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 192 and 337, to get

337 = 192 x 1 + 145

Step 3: We consider the new divisor 192 and the new remainder 145, and apply the division lemma to get

192 = 145 x 1 + 47

We consider the new divisor 145 and the new remainder 47,and apply the division lemma to get

145 = 47 x 3 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 337 and 529 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(145,47) = HCF(192,145) = HCF(337,192) = HCF(529,337) .

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

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

223 = 1 x 223 + 0

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

Notice that 1 = HCF(223,1) .

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Frequently Asked Questions on HCF of 337, 529, 223 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 337, 529, 223?

Answer: HCF of 337, 529, 223 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 337, 529, 223 using Euclid's Algorithm?

Answer: For arbitrary numbers 337, 529, 223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.