Highest Common Factor of 5878, 6893 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 5878, 6893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5878, 6893 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 5878, 6893 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 5878, 6893 is 1.

HCF(5878, 6893) = 1

HCF of 5878, 6893 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 5878, 6893 is 1.

Highest Common Factor of 5878,6893 using Euclid's algorithm

Highest Common Factor of 5878,6893 is 1

Step 1: Since 6893 > 5878, we apply the division lemma to 6893 and 5878, to get

6893 = 5878 x 1 + 1015

Step 2: Since the reminder 5878 ≠ 0, we apply division lemma to 1015 and 5878, to get

5878 = 1015 x 5 + 803

Step 3: We consider the new divisor 1015 and the new remainder 803, and apply the division lemma to get

1015 = 803 x 1 + 212

We consider the new divisor 803 and the new remainder 212,and apply the division lemma to get

803 = 212 x 3 + 167

We consider the new divisor 212 and the new remainder 167,and apply the division lemma to get

212 = 167 x 1 + 45

We consider the new divisor 167 and the new remainder 45,and apply the division lemma to get

167 = 45 x 3 + 32

We consider the new divisor 45 and the new remainder 32,and apply the division lemma to get

45 = 32 x 1 + 13

We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get

32 = 13 x 2 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5878 and 6893 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(45,32) = HCF(167,45) = HCF(212,167) = HCF(803,212) = HCF(1015,803) = HCF(5878,1015) = HCF(6893,5878) .

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Frequently Asked Questions on HCF of 5878, 6893 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 5878, 6893?

Answer: HCF of 5878, 6893 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5878, 6893 using Euclid's Algorithm?

Answer: For arbitrary numbers 5878, 6893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.