Highest Common Factor of 347, 552, 393 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, 552, 393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 347, 552, 393 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, 552, 393 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, 552, 393 is 1.

HCF(347, 552, 393) = 1

HCF of 347, 552, 393 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, 552, 393 is 1.

Highest Common Factor of 347,552,393 using Euclid's algorithm

Highest Common Factor of 347,552,393 is 1

Step 1: Since 552 > 347, we apply the division lemma to 552 and 347, to get

552 = 347 x 1 + 205

Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 205 and 347, to get

347 = 205 x 1 + 142

Step 3: We consider the new divisor 205 and the new remainder 142, and apply the division lemma to get

205 = 142 x 1 + 63

We consider the new divisor 142 and the new remainder 63,and apply the division lemma to get

142 = 63 x 2 + 16

We consider the new divisor 63 and the new remainder 16,and apply the division lemma to get

63 = 16 x 3 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 347 and 552 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(63,16) = HCF(142,63) = HCF(205,142) = HCF(347,205) = HCF(552,347) .

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

Step 1: Since 393 > 1, we apply the division lemma to 393 and 1, to get

393 = 1 x 393 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 393 is 1

Notice that 1 = HCF(393,1) .

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Frequently Asked Questions on HCF of 347, 552, 393 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, 552, 393?

Answer: HCF of 347, 552, 393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 347, 552, 393 using Euclid's Algorithm?

Answer: For arbitrary numbers 347, 552, 393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.