Highest Common Factor of 5007, 6854 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 5007, 6854 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5007, 6854 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 5007, 6854 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 5007, 6854 is 1.

HCF(5007, 6854) = 1

HCF of 5007, 6854 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 5007, 6854 is 1.

Highest Common Factor of 5007,6854 using Euclid's algorithm

Highest Common Factor of 5007,6854 is 1

Step 1: Since 6854 > 5007, we apply the division lemma to 6854 and 5007, to get

6854 = 5007 x 1 + 1847

Step 2: Since the reminder 5007 ≠ 0, we apply division lemma to 1847 and 5007, to get

5007 = 1847 x 2 + 1313

Step 3: We consider the new divisor 1847 and the new remainder 1313, and apply the division lemma to get

1847 = 1313 x 1 + 534

We consider the new divisor 1313 and the new remainder 534,and apply the division lemma to get

1313 = 534 x 2 + 245

We consider the new divisor 534 and the new remainder 245,and apply the division lemma to get

534 = 245 x 2 + 44

We consider the new divisor 245 and the new remainder 44,and apply the division lemma to get

245 = 44 x 5 + 25

We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get

44 = 25 x 1 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 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 5007 and 6854 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(245,44) = HCF(534,245) = HCF(1313,534) = HCF(1847,1313) = HCF(5007,1847) = HCF(6854,5007) .

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Frequently Asked Questions on HCF of 5007, 6854 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 5007, 6854?

Answer: HCF of 5007, 6854 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5007, 6854 using Euclid's Algorithm?

Answer: For arbitrary numbers 5007, 6854 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.