Highest Common Factor of 2600, 3829, 19977 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 2600, 3829, 19977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2600, 3829, 19977 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 2600, 3829, 19977 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 2600, 3829, 19977 is 1.

HCF(2600, 3829, 19977) = 1

HCF of 2600, 3829, 19977 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 2600, 3829, 19977 is 1.

Highest Common Factor of 2600,3829,19977 using Euclid's algorithm

Highest Common Factor of 2600,3829,19977 is 1

Step 1: Since 3829 > 2600, we apply the division lemma to 3829 and 2600, to get

3829 = 2600 x 1 + 1229

Step 2: Since the reminder 2600 ≠ 0, we apply division lemma to 1229 and 2600, to get

2600 = 1229 x 2 + 142

Step 3: We consider the new divisor 1229 and the new remainder 142, and apply the division lemma to get

1229 = 142 x 8 + 93

We consider the new divisor 142 and the new remainder 93,and apply the division lemma to get

142 = 93 x 1 + 49

We consider the new divisor 93 and the new remainder 49,and apply the division lemma to get

93 = 49 x 1 + 44

We consider the new divisor 49 and the new remainder 44,and apply the division lemma to get

49 = 44 x 1 + 5

We consider the new divisor 44 and the new remainder 5,and apply the division lemma to get

44 = 5 x 8 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

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 2600 and 3829 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(44,5) = HCF(49,44) = HCF(93,49) = HCF(142,93) = HCF(1229,142) = HCF(2600,1229) = HCF(3829,2600) .

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

Step 1: Since 19977 > 1, we apply the division lemma to 19977 and 1, to get

19977 = 1 x 19977 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19977 is 1

Notice that 1 = HCF(19977,1) .

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Frequently Asked Questions on HCF of 2600, 3829, 19977 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 2600, 3829, 19977?

Answer: HCF of 2600, 3829, 19977 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2600, 3829, 19977 using Euclid's Algorithm?

Answer: For arbitrary numbers 2600, 3829, 19977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.