Highest Common Factor of 349, 893, 230 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 349, 893, 230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 349, 893, 230 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 349, 893, 230 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 349, 893, 230 is 1.

HCF(349, 893, 230) = 1

HCF of 349, 893, 230 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 349, 893, 230 is 1.

Highest Common Factor of 349,893,230 using Euclid's algorithm

Highest Common Factor of 349,893,230 is 1

Step 1: Since 893 > 349, we apply the division lemma to 893 and 349, to get

893 = 349 x 2 + 195

Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 195 and 349, to get

349 = 195 x 1 + 154

Step 3: We consider the new divisor 195 and the new remainder 154, and apply the division lemma to get

195 = 154 x 1 + 41

We consider the new divisor 154 and the new remainder 41,and apply the division lemma to get

154 = 41 x 3 + 31

We consider the new divisor 41 and the new remainder 31,and apply the division lemma to get

41 = 31 x 1 + 10

We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get

31 = 10 x 3 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 349 and 893 is 1

Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(41,31) = HCF(154,41) = HCF(195,154) = HCF(349,195) = HCF(893,349) .

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

Step 1: Since 230 > 1, we apply the division lemma to 230 and 1, to get

230 = 1 x 230 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 230 is 1

Notice that 1 = HCF(230,1) .

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Frequently Asked Questions on HCF of 349, 893, 230 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 349, 893, 230?

Answer: HCF of 349, 893, 230 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 349, 893, 230 using Euclid's Algorithm?

Answer: For arbitrary numbers 349, 893, 230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.