Highest Common Factor of 1721, 3874, 49879 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 1721, 3874, 49879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1721, 3874, 49879 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 1721, 3874, 49879 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 1721, 3874, 49879 is 1.

HCF(1721, 3874, 49879) = 1

HCF of 1721, 3874, 49879 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 1721, 3874, 49879 is 1.

Highest Common Factor of 1721,3874,49879 using Euclid's algorithm

Highest Common Factor of 1721,3874,49879 is 1

Step 1: Since 3874 > 1721, we apply the division lemma to 3874 and 1721, to get

3874 = 1721 x 2 + 432

Step 2: Since the reminder 1721 ≠ 0, we apply division lemma to 432 and 1721, to get

1721 = 432 x 3 + 425

Step 3: We consider the new divisor 432 and the new remainder 425, and apply the division lemma to get

432 = 425 x 1 + 7

We consider the new divisor 425 and the new remainder 7,and apply the division lemma to get

425 = 7 x 60 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1721 and 3874 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(425,7) = HCF(432,425) = HCF(1721,432) = HCF(3874,1721) .

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

Step 1: Since 49879 > 1, we apply the division lemma to 49879 and 1, to get

49879 = 1 x 49879 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49879 is 1

Notice that 1 = HCF(49879,1) .

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Frequently Asked Questions on HCF of 1721, 3874, 49879 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 1721, 3874, 49879?

Answer: HCF of 1721, 3874, 49879 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1721, 3874, 49879 using Euclid's Algorithm?

Answer: For arbitrary numbers 1721, 3874, 49879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.