Highest Common Factor of 2702, 6401, 52839 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 2702, 6401, 52839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2702, 6401, 52839 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 2702, 6401, 52839 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 2702, 6401, 52839 is 1.

HCF(2702, 6401, 52839) = 1

HCF of 2702, 6401, 52839 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 2702, 6401, 52839 is 1.

Highest Common Factor of 2702,6401,52839 using Euclid's algorithm

Highest Common Factor of 2702,6401,52839 is 1

Step 1: Since 6401 > 2702, we apply the division lemma to 6401 and 2702, to get

6401 = 2702 x 2 + 997

Step 2: Since the reminder 2702 ≠ 0, we apply division lemma to 997 and 2702, to get

2702 = 997 x 2 + 708

Step 3: We consider the new divisor 997 and the new remainder 708, and apply the division lemma to get

997 = 708 x 1 + 289

We consider the new divisor 708 and the new remainder 289,and apply the division lemma to get

708 = 289 x 2 + 130

We consider the new divisor 289 and the new remainder 130,and apply the division lemma to get

289 = 130 x 2 + 29

We consider the new divisor 130 and the new remainder 29,and apply the division lemma to get

130 = 29 x 4 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2702 and 6401 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(130,29) = HCF(289,130) = HCF(708,289) = HCF(997,708) = HCF(2702,997) = HCF(6401,2702) .

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

Step 1: Since 52839 > 1, we apply the division lemma to 52839 and 1, to get

52839 = 1 x 52839 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52839 is 1

Notice that 1 = HCF(52839,1) .

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Frequently Asked Questions on HCF of 2702, 6401, 52839 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 2702, 6401, 52839?

Answer: HCF of 2702, 6401, 52839 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2702, 6401, 52839 using Euclid's Algorithm?

Answer: For arbitrary numbers 2702, 6401, 52839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.