Highest Common Factor of 845, 335, 519 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 845, 335, 519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 845, 335, 519 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 845, 335, 519 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 845, 335, 519 is 1.

HCF(845, 335, 519) = 1

HCF of 845, 335, 519 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 845, 335, 519 is 1.

Highest Common Factor of 845,335,519 using Euclid's algorithm

Highest Common Factor of 845,335,519 is 1

Step 1: Since 845 > 335, we apply the division lemma to 845 and 335, to get

845 = 335 x 2 + 175

Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 175 and 335, to get

335 = 175 x 1 + 160

Step 3: We consider the new divisor 175 and the new remainder 160, and apply the division lemma to get

175 = 160 x 1 + 15

We consider the new divisor 160 and the new remainder 15,and apply the division lemma to get

160 = 15 x 10 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 845 and 335 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(160,15) = HCF(175,160) = HCF(335,175) = HCF(845,335) .

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

Step 1: Since 519 > 5, we apply the division lemma to 519 and 5, to get

519 = 5 x 103 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 519 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(519,5) .

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Frequently Asked Questions on HCF of 845, 335, 519 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 845, 335, 519?

Answer: HCF of 845, 335, 519 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 845, 335, 519 using Euclid's Algorithm?

Answer: For arbitrary numbers 845, 335, 519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.