Highest Common Factor of 339, 580, 645 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 339, 580, 645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 339, 580, 645 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 339, 580, 645 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 339, 580, 645 is 1.

HCF(339, 580, 645) = 1

HCF of 339, 580, 645 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 339, 580, 645 is 1.

Highest Common Factor of 339,580,645 using Euclid's algorithm

Highest Common Factor of 339,580,645 is 1

Step 1: Since 580 > 339, we apply the division lemma to 580 and 339, to get

580 = 339 x 1 + 241

Step 2: Since the reminder 339 ≠ 0, we apply division lemma to 241 and 339, to get

339 = 241 x 1 + 98

Step 3: We consider the new divisor 241 and the new remainder 98, and apply the division lemma to get

241 = 98 x 2 + 45

We consider the new divisor 98 and the new remainder 45,and apply the division lemma to get

98 = 45 x 2 + 8

We consider the new divisor 45 and the new remainder 8,and apply the division lemma to get

45 = 8 x 5 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 339 and 580 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(45,8) = HCF(98,45) = HCF(241,98) = HCF(339,241) = HCF(580,339) .

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

Step 1: Since 645 > 1, we apply the division lemma to 645 and 1, to get

645 = 1 x 645 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 645 is 1

Notice that 1 = HCF(645,1) .

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Frequently Asked Questions on HCF of 339, 580, 645 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 339, 580, 645?

Answer: HCF of 339, 580, 645 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 339, 580, 645 using Euclid's Algorithm?

Answer: For arbitrary numbers 339, 580, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.