Highest Common Factor of 2947, 2416, 46339 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 2947, 2416, 46339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2947, 2416, 46339 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 2947, 2416, 46339 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 2947, 2416, 46339 is 1.

HCF(2947, 2416, 46339) = 1

HCF of 2947, 2416, 46339 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 2947, 2416, 46339 is 1.

Highest Common Factor of 2947,2416,46339 using Euclid's algorithm

Highest Common Factor of 2947,2416,46339 is 1

Step 1: Since 2947 > 2416, we apply the division lemma to 2947 and 2416, to get

2947 = 2416 x 1 + 531

Step 2: Since the reminder 2416 ≠ 0, we apply division lemma to 531 and 2416, to get

2416 = 531 x 4 + 292

Step 3: We consider the new divisor 531 and the new remainder 292, and apply the division lemma to get

531 = 292 x 1 + 239

We consider the new divisor 292 and the new remainder 239,and apply the division lemma to get

292 = 239 x 1 + 53

We consider the new divisor 239 and the new remainder 53,and apply the division lemma to get

239 = 53 x 4 + 27

We consider the new divisor 53 and the new remainder 27,and apply the division lemma to get

53 = 27 x 1 + 26

We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get

27 = 26 x 1 + 1

We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2947 and 2416 is 1

Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(53,27) = HCF(239,53) = HCF(292,239) = HCF(531,292) = HCF(2416,531) = HCF(2947,2416) .

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

Step 1: Since 46339 > 1, we apply the division lemma to 46339 and 1, to get

46339 = 1 x 46339 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46339 is 1

Notice that 1 = HCF(46339,1) .

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Frequently Asked Questions on HCF of 2947, 2416, 46339 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 2947, 2416, 46339?

Answer: HCF of 2947, 2416, 46339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2947, 2416, 46339 using Euclid's Algorithm?

Answer: For arbitrary numbers 2947, 2416, 46339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.