Highest Common Factor of 341, 591, 354 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 341, 591, 354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 341, 591, 354 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 341, 591, 354 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 341, 591, 354 is 1.

HCF(341, 591, 354) = 1

HCF of 341, 591, 354 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 341, 591, 354 is 1.

Highest Common Factor of 341,591,354 using Euclid's algorithm

Highest Common Factor of 341,591,354 is 1

Step 1: Since 591 > 341, we apply the division lemma to 591 and 341, to get

591 = 341 x 1 + 250

Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 250 and 341, to get

341 = 250 x 1 + 91

Step 3: We consider the new divisor 250 and the new remainder 91, and apply the division lemma to get

250 = 91 x 2 + 68

We consider the new divisor 91 and the new remainder 68,and apply the division lemma to get

91 = 68 x 1 + 23

We consider the new divisor 68 and the new remainder 23,and apply the division lemma to get

68 = 23 x 2 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 341 and 591 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(91,68) = HCF(250,91) = HCF(341,250) = HCF(591,341) .

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

Step 1: Since 354 > 1, we apply the division lemma to 354 and 1, to get

354 = 1 x 354 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 354 is 1

Notice that 1 = HCF(354,1) .

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Frequently Asked Questions on HCF of 341, 591, 354 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 341, 591, 354?

Answer: HCF of 341, 591, 354 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 341, 591, 354 using Euclid's Algorithm?

Answer: For arbitrary numbers 341, 591, 354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.