Highest Common Factor of 347, 995 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 347, 995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 347, 995 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 347, 995 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 347, 995 is 1.

HCF(347, 995) = 1

HCF of 347, 995 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 347, 995 is 1.

Highest Common Factor of 347,995 using Euclid's algorithm

Highest Common Factor of 347,995 is 1

Step 1: Since 995 > 347, we apply the division lemma to 995 and 347, to get

995 = 347 x 2 + 301

Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 301 and 347, to get

347 = 301 x 1 + 46

Step 3: We consider the new divisor 301 and the new remainder 46, and apply the division lemma to get

301 = 46 x 6 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 347 and 995 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(301,46) = HCF(347,301) = HCF(995,347) .

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Frequently Asked Questions on HCF of 347, 995 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 347, 995?

Answer: HCF of 347, 995 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 347, 995 using Euclid's Algorithm?

Answer: For arbitrary numbers 347, 995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.